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Simplifying 12(x + -1) = 8(x + -1) Reorder the terms: 12(-1 + x) = 8(x + -1) (-1 * 12 + x * 12) = 8(x + -1) (-12 + 12x) = 8(x + -1) Reorder the terms: -12 + 12x = 8(-1 + x) -12 + 12x = (-1 * 8 + x * 8) -12 + 12x = (-8 + 8x) Solving -12 + 12x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 12x + -8x = -8 + 8x + -8x Combine like terms: 12x + -8x = 4x -12 + 4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 4x = -8 + 0 -12 + 4x = -8 Add '12' to each side of the equation. -12 + 12 + 4x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -8 + 12 4x = -8 + 12 Combine like terms: -8 + 12 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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