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Simplifying 12(4 + x) + 5(-2x + -9) = 18 (4 * 12 + x * 12) + 5(-2x + -9) = 18 (48 + 12x) + 5(-2x + -9) = 18 Reorder the terms: 48 + 12x + 5(-9 + -2x) = 18 48 + 12x + (-9 * 5 + -2x * 5) = 18 48 + 12x + (-45 + -10x) = 18 Reorder the terms: 48 + -45 + 12x + -10x = 18 Combine like terms: 48 + -45 = 3 3 + 12x + -10x = 18 Combine like terms: 12x + -10x = 2x 3 + 2x = 18 Solving 3 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 18 + -3 2x = 18 + -3 Combine like terms: 18 + -3 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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