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Simplifying 10(x + -1) = 12(x + 1) Reorder the terms: 10(-1 + x) = 12(x + 1) (-1 * 10 + x * 10) = 12(x + 1) (-10 + 10x) = 12(x + 1) Reorder the terms: -10 + 10x = 12(1 + x) -10 + 10x = (1 * 12 + x * 12) -10 + 10x = (12 + 12x) Solving -10 + 10x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 10x + -12x = 12 + 12x + -12x Combine like terms: 10x + -12x = -2x -10 + -2x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -2x = 12 + 0 -10 + -2x = 12 Add '10' to each side of the equation. -10 + 10 + -2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 12 + 10 -2x = 12 + 10 Combine like terms: 12 + 10 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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