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