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Simplifying 2(2x + 12) = 5x + 18 Reorder the terms: 2(12 + 2x) = 5x + 18 (12 * 2 + 2x * 2) = 5x + 18 (24 + 4x) = 5x + 18 Reorder the terms: 24 + 4x = 18 + 5x Solving 24 + 4x = 18 + 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. 24 + 4x + -5x = 18 + 5x + -5x Combine like terms: 4x + -5x = -1x 24 + -1x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -1x = 18 + 0 24 + -1x = 18 Add '-24' to each side of the equation. 24 + -24 + -1x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 18 + -24 -1x = 18 + -24 Combine like terms: 18 + -24 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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