Final answer:
To combine like terms in the equation X - 0.289x = 379.00, you need to add the coefficients of the similar terms. The combined term is (1 - 0.289)x. To solve for X, divide both sides of the equation by 0.711.
Step-by-step explanation:
To combine like terms in the equation X - 0.289x = 379.00, you need to add the coefficients of the similar terms. In this case, the terms X and -0.289x have the same variable, which is x. So, you can combine them by adding their coefficients. The coefficient of X is 1, and the coefficient of -0.289x is -0.289. Therefore, the combined term is (1 - 0.289)x. The equation then becomes 0.711x = 379.00. To solve for X, divide both sides of the equation by 0.711 to isolate the variable. Therefore, the answer is X = 379.00 / 0.711.