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Simplifying (2x + 9) = 3(x + -2) Reorder the terms: (9 + 2x) = 3(x + -2) Remove parenthesis around (9 + 2x) 9 + 2x = 3(x + -2) Reorder the terms: 9 + 2x = 3(-2 + x) 9 + 2x = (-2 * 3 + x * 3) 9 + 2x = (-6 + 3x) Solving 9 + 2x = -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. 9 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = -6 + 0 9 + -1x = -6 Add '-9' to each side of the equation. 9 + -9 + -1x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -6 + -9 -1x = -6 + -9 Combine like terms: -6 + -9 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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