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Simplifying 3(x + 9) = 3(5x + -5) + 2x Reorder the terms: 3(9 + x) = 3(5x + -5) + 2x (9 * 3 + x * 3) = 3(5x + -5) + 2x (27 + 3x) = 3(5x + -5) + 2x Reorder the terms: 27 + 3x = 3(-5 + 5x) + 2x 27 + 3x = (-5 * 3 + 5x * 3) + 2x 27 + 3x = (-15 + 15x) + 2x Combine like terms: 15x + 2x = 17x 27 + 3x = -15 + 17x Solving 27 + 3x = -15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 27 + 3x + -17x = -15 + 17x + -17x Combine like terms: 3x + -17x = -14x 27 + -14x = -15 + 17x + -17x Combine like terms: 17x + -17x = 0 27 + -14x = -15 + 0 27 + -14x = -15 Add '-27' to each side of the equation. 27 + -27 + -14x = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -14x = -15 + -27 -14x = -15 + -27 Combine like terms: -15 + -27 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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