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Simplifying 5(x + -1) + 5(x + 1) = 3(2x + -4) Reorder the terms: 5(-1 + x) + 5(x + 1) = 3(2x + -4) (-1 * 5 + x * 5) + 5(x + 1) = 3(2x + -4) (-5 + 5x) + 5(x + 1) = 3(2x + -4) Reorder the terms: -5 + 5x + 5(1 + x) = 3(2x + -4) -5 + 5x + (1 * 5 + x * 5) = 3(2x + -4) -5 + 5x + (5 + 5x) = 3(2x + -4) Reorder the terms: -5 + 5 + 5x + 5x = 3(2x + -4) Combine like terms: -5 + 5 = 0 0 + 5x + 5x = 3(2x + -4) 5x + 5x = 3(2x + -4) Combine like terms: 5x + 5x = 10x 10x = 3(2x + -4) Reorder the terms: 10x = 3(-4 + 2x) 10x = (-4 * 3 + 2x * 3) 10x = (-12 + 6x) Solving 10x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10x + -6x = -12 + 6x + -6x Combine like terms: 10x + -6x = 4x 4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 4x = -12 + 0 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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