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