Final answer:
The Mathematics question involves solving for x in multiple linear equations by combining like terms and isolating x to find its value. Once like terms are combined, the coefficient of x is used to divide the constant to get the value of x.
Step-by-step explanation:
The question presented involves solving for x in a set of linear equations. Each equation is simplified by combining like terms to give a single equation that can then be solved to find the value of x. The given set of equations are all variations of the same type, where x is combined with a multiple of itself and then equated to a number. To solve such equations, we combine like terms, which involves adding or subtracting the coefficients (numbers in front of x) and then solving for x by isolating it on one side of the equation.
Here is a step-by-step explanation for the first equation, which follows a similar pattern of resolution as the subsequent ones:
Combine like terms: (-4x + 3x + 2x + x) to get 2x.
Set the equation equal to 17: 2x = 17.
Divide both sides by 2 to solve for x: x = 17/2.
The solution for x is 8.5.