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Simplifying 3(5x + -9) = 32 + -3(x + 3) Reorder the terms: 3(-9 + 5x) = 32 + -3(x + 3) (-9 * 3 + 5x * 3) = 32 + -3(x + 3) (-27 + 15x) = 32 + -3(x + 3) Reorder the terms: -27 + 15x = 32 + -3(3 + x) -27 + 15x = 32 + (3 * -3 + x * -3) -27 + 15x = 32 + (-9 + -3x) Combine like terms: 32 + -9 = 23 -27 + 15x = 23 + -3x Solving -27 + 15x = 23 + -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. -27 + 15x + 3x = 23 + -3x + 3x Combine like terms: 15x + 3x = 18x -27 + 18x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 18x = 23 + 0 -27 + 18x = 23 Add '27' to each side of the equation. -27 + 27 + 18x = 23 + 27 Combine like terms: -27 + 27 = 0 0 + 18x = 23 + 27 18x = 23 + 27 Combine like terms: 23 + 27 = 50 18x = 50 Divide each side by '18'. x = 2.777777778 Simplifying x = 2.777777778
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