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Simplifying 3(x + -1) = 5(x + 1) Reorder the terms: 3(-1 + x) = 5(x + 1) (-1 * 3 + x * 3) = 5(x + 1) (-3 + 3x) = 5(x + 1) Reorder the terms: -3 + 3x = 5(1 + x) -3 + 3x = (1 * 5 + x * 5) -3 + 3x = (5 + 5x) Solving -3 + 3x = 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 + 3x + -5x = 5 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = 5 + 0 -3 + -2x = 5 Add '3' to each side of the equation. -3 + 3 + -2x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 5 + 3 -2x = 5 + 3 Combine like terms: 5 + 3 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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