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Simplifying 3(x + 5) + -1(2x + -9) = 27 Reorder the terms: 3(5 + x) + -1(2x + -9) = 27 (5 * 3 + x * 3) + -1(2x + -9) = 27 (15 + 3x) + -1(2x + -9) = 27 Reorder the terms: 15 + 3x + -1(-9 + 2x) = 27 15 + 3x + (-9 * -1 + 2x * -1) = 27 15 + 3x + (9 + -2x) = 27 Reorder the terms: 15 + 9 + 3x + -2x = 27 Combine like terms: 15 + 9 = 24 24 + 3x + -2x = 27 Combine like terms: 3x + -2x = 1x 24 + 1x = 27 Solving 24 + 1x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 27 + -24 1x = 27 + -24 Combine like terms: 27 + -24 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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