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Simplifying -3(x + 1) + 4x = 5(1 + x) Reorder the terms: -3(1 + x) + 4x = 5(1 + x) (1 * -3 + x * -3) + 4x = 5(1 + x) (-3 + -3x) + 4x = 5(1 + x) Combine like terms: -3x + 4x = 1x -3 + 1x = 5(1 + x) -3 + 1x = (1 * 5 + x * 5) -3 + 1x = (5 + 5x) Solving -3 + 1x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 1x + -5x = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x -3 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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