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Simplifying 2(2x + 6) = 5x + 9 Reorder the terms: 2(6 + 2x) = 5x + 9 (6 * 2 + 2x * 2) = 5x + 9 (12 + 4x) = 5x + 9 Reorder the terms: 12 + 4x = 9 + 5x Solving 12 + 4x = 9 + 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. 12 + 4x + -5x = 9 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 9 + 0 12 + -1x = 9 Add '-12' to each side of the equation. 12 + -12 + -1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 9 + -12 -1x = 9 + -12 Combine like terms: 9 + -12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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