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Simplifying 2(x + 7) = 3(x + 6) + 9 Reorder the terms: 2(7 + x) = 3(x + 6) + 9 (7 * 2 + x * 2) = 3(x + 6) + 9 (14 + 2x) = 3(x + 6) + 9 Reorder the terms: 14 + 2x = 3(6 + x) + 9 14 + 2x = (6 * 3 + x * 3) + 9 14 + 2x = (18 + 3x) + 9 Reorder the terms: 14 + 2x = 18 + 9 + 3x Combine like terms: 18 + 9 = 27 14 + 2x = 27 + 3x Solving 14 + 2x = 27 + 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. 14 + 2x + -3x = 27 + 3x + -3x Combine like terms: 2x + -3x = -1x 14 + -1x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -1x = 27 + 0 14 + -1x = 27 Add '-14' to each side of the equation. 14 + -14 + -1x = 27 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 27 + -14 -1x = 27 + -14 Combine like terms: 27 + -14 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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