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Simplifying 9x + -3(2x + -9) = 5x + 32 Reorder the terms: 9x + -3(-9 + 2x) = 5x + 32 9x + (-9 * -3 + 2x * -3) = 5x + 32 9x + (27 + -6x) = 5x + 32 Reorder the terms: 27 + 9x + -6x = 5x + 32 Combine like terms: 9x + -6x = 3x 27 + 3x = 5x + 32 Reorder the terms: 27 + 3x = 32 + 5x Solving 27 + 3x = 32 + 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 + 3x + -5x = 32 + 5x + -5x Combine like terms: 3x + -5x = -2x 27 + -2x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -2x = 32 + 0 27 + -2x = 32 Add '-27' to each side of the equation. 27 + -27 + -2x = 32 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 32 + -27 -2x = 32 + -27 Combine like terms: 32 + -27 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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