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Simplifying 2(2x + -9) = x + -12 Reorder the terms: 2(-9 + 2x) = x + -12 (-9 * 2 + 2x * 2) = x + -12 (-18 + 4x) = x + -12 Reorder the terms: -18 + 4x = -12 + x Solving -18 + 4x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 4x + -1x = -12 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = -12 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = -12 + 0 -18 + 3x = -12 Add '18' to each side of the equation. -18 + 18 + 3x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -12 + 18 3x = -12 + 18 Combine like terms: -12 + 18 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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