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Simplifying 3(12 + 8x) + -1(6 + -9x) = 45 (12 * 3 + 8x * 3) + -1(6 + -9x) = 45 (36 + 24x) + -1(6 + -9x) = 45 36 + 24x + (6 * -1 + -9x * -1) = 45 36 + 24x + (-6 + 9x) = 45 Reorder the terms: 36 + -6 + 24x + 9x = 45 Combine like terms: 36 + -6 = 30 30 + 24x + 9x = 45 Combine like terms: 24x + 9x = 33x 30 + 33x = 45 Solving 30 + 33x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 33x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 33x = 45 + -30 33x = 45 + -30 Combine like terms: 45 + -30 = 15 33x = 15 Divide each side by '33'. x = 0.4545454545 Simplifying x = 0.4545454545
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