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Simplifying 12(x + -1) = 8(x + 2) Reorder the terms: 12(-1 + x) = 8(x + 2) (-1 * 12 + x * 12) = 8(x + 2) (-12 + 12x) = 8(x + 2) Reorder the terms: -12 + 12x = 8(2 + x) -12 + 12x = (2 * 8 + x * 8) -12 + 12x = (16 + 8x) Solving -12 + 12x = 16 + 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 = 16 + 8x + -8x Combine like terms: 12x + -8x = 4x -12 + 4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 4x = 16 + 0 -12 + 4x = 16 Add '12' to each side of the equation. -12 + 12 + 4x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 16 + 12 4x = 16 + 12 Combine like terms: 16 + 12 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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