Simplifying 4x + -1 = 3(x + 1) Reorder the terms: -1 + 4x = 3(x + 1) Reorder the terms: -1 + 4x = 3(1 + x) -1 + 4x = (1 * 3 + x * 3) -1 + 4x = (3 + 3x) Solving -1 + 4x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x -1 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 1x = 3 + 0 -1 + 1x = 3 Add '1' to each side of the equation. -1 + 1 + 1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 3 + 1 1x = 3 + 1 Combine like terms: 3 + 1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4