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Simplifying 2(x + -12) + -1(x + 12) = 5x Reorder the terms: 2(-12 + x) + -1(x + 12) = 5x (-12 * 2 + x * 2) + -1(x + 12) = 5x (-24 + 2x) + -1(x + 12) = 5x Reorder the terms: -24 + 2x + -1(12 + x) = 5x -24 + 2x + (12 * -1 + x * -1) = 5x -24 + 2x + (-12 + -1x) = 5x Reorder the terms: -24 + -12 + 2x + -1x = 5x Combine like terms: -24 + -12 = -36 -36 + 2x + -1x = 5x Combine like terms: 2x + -1x = 1x -36 + 1x = 5x Solving -36 + 1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x -36 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 -36 + -4x = 0 Add '36' to each side of the equation. -36 + 36 + -4x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 0 + 36 -4x = 0 + 36 Combine like terms: 0 + 36 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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