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Simplifying -3(2x + -9) + x = 5(x + 9) Reorder the terms: -3(-9 + 2x) + x = 5(x + 9) (-9 * -3 + 2x * -3) + x = 5(x + 9) (27 + -6x) + x = 5(x + 9) Combine like terms: -6x + x = -5x 27 + -5x = 5(x + 9) Reorder the terms: 27 + -5x = 5(9 + x) 27 + -5x = (9 * 5 + x * 5) 27 + -5x = (45 + 5x) Solving 27 + -5x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + -5x + -5x = 45 + 5x + -5x Combine like terms: -5x + -5x = -10x 27 + -10x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -10x = 45 + 0 27 + -10x = 45 Add '-27' to each side of the equation. 27 + -27 + -10x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = 45 + -27 -10x = 45 + -27 Combine like terms: 45 + -27 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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