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Simplifying -3(x + -9) = 14(x + -9) Reorder the terms: -3(-9 + x) = 14(x + -9) (-9 * -3 + x * -3) = 14(x + -9) (27 + -3x) = 14(x + -9) Reorder the terms: 27 + -3x = 14(-9 + x) 27 + -3x = (-9 * 14 + x * 14) 27 + -3x = (-126 + 14x) Solving 27 + -3x = -126 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 27 + -3x + -14x = -126 + 14x + -14x Combine like terms: -3x + -14x = -17x 27 + -17x = -126 + 14x + -14x Combine like terms: 14x + -14x = 0 27 + -17x = -126 + 0 27 + -17x = -126 Add '-27' to each side of the equation. 27 + -27 + -17x = -126 + -27 Combine like terms: 27 + -27 = 0 0 + -17x = -126 + -27 -17x = -126 + -27 Combine like terms: -126 + -27 = -153 -17x = -153 Divide each side by '-17'. x = 9 Simplifying x = 9
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