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Simplifying 3(5x + -9) = -2(6 + -2x) + x Reorder the terms: 3(-9 + 5x) = -2(6 + -2x) + x (-9 * 3 + 5x * 3) = -2(6 + -2x) + x (-27 + 15x) = -2(6 + -2x) + x -27 + 15x = (6 * -2 + -2x * -2) + x -27 + 15x = (-12 + 4x) + x Combine like terms: 4x + x = 5x -27 + 15x = -12 + 5x Solving -27 + 15x = -12 + 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 + 15x + -5x = -12 + 5x + -5x Combine like terms: 15x + -5x = 10x -27 + 10x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 10x = -12 + 0 -27 + 10x = -12 Add '27' to each side of the equation. -27 + 27 + 10x = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = -12 + 27 10x = -12 + 27 Combine like terms: -12 + 27 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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