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Simplifying 12(x + -1) = 24(x + 1) Reorder the terms: 12(-1 + x) = 24(x + 1) (-1 * 12 + x * 12) = 24(x + 1) (-12 + 12x) = 24(x + 1) Reorder the terms: -12 + 12x = 24(1 + x) -12 + 12x = (1 * 24 + x * 24) -12 + 12x = (24 + 24x) Solving -12 + 12x = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 12x + -24x = 24 + 24x + -24x Combine like terms: 12x + -24x = -12x -12 + -12x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -12x = 24 + 0 -12 + -12x = 24 Add '12' to each side of the equation. -12 + 12 + -12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 24 + 12 -12x = 24 + 12 Combine like terms: 24 + 12 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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