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Simplifying 2(2x + 9) = 5x + -12 Reorder the terms: 2(9 + 2x) = 5x + -12 (9 * 2 + 2x * 2) = 5x + -12 (18 + 4x) = 5x + -12 Reorder the terms: 18 + 4x = -12 + 5x Solving 18 + 4x = -12 + 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. 18 + 4x + -5x = -12 + 5x + -5x Combine like terms: 4x + -5x = -1x 18 + -1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -1x = -12 + 0 18 + -1x = -12 Add '-18' to each side of the equation. 18 + -18 + -1x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -12 + -18 -1x = -12 + -18 Combine like terms: -12 + -18 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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