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Simplifying 12(8x + 24) = -33(x + -5) Reorder the terms: 12(24 + 8x) = -33(x + -5) (24 * 12 + 8x * 12) = -33(x + -5) (288 + 96x) = -33(x + -5) Reorder the terms: 288 + 96x = -33(-5 + x) 288 + 96x = (-5 * -33 + x * -33) 288 + 96x = (165 + -33x) Solving 288 + 96x = 165 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 288 + 96x + 33x = 165 + -33x + 33x Combine like terms: 96x + 33x = 129x 288 + 129x = 165 + -33x + 33x Combine like terms: -33x + 33x = 0 288 + 129x = 165 + 0 288 + 129x = 165 Add '-288' to each side of the equation. 288 + -288 + 129x = 165 + -288 Combine like terms: 288 + -288 = 0 0 + 129x = 165 + -288 129x = 165 + -288 Combine like terms: 165 + -288 = -123 129x = -123 Divide each side by '129'. x = -0.9534883721 Simplifying x = -0.9534883721
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