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Simplifying -3(6x + -5) + 7x = 3(x + 9) Reorder the terms: -3(-5 + 6x) + 7x = 3(x + 9) (-5 * -3 + 6x * -3) + 7x = 3(x + 9) (15 + -18x) + 7x = 3(x + 9) Combine like terms: -18x + 7x = -11x 15 + -11x = 3(x + 9) Reorder the terms: 15 + -11x = 3(9 + x) 15 + -11x = (9 * 3 + x * 3) 15 + -11x = (27 + 3x) Solving 15 + -11x = 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. 15 + -11x + -3x = 27 + 3x + -3x Combine like terms: -11x + -3x = -14x 15 + -14x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -14x = 27 + 0 15 + -14x = 27 Add '-15' to each side of the equation. 15 + -15 + -14x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 27 + -15 -14x = 27 + -15 Combine like terms: 27 + -15 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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