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Simplifying 1.5(16 + -1x) = -12(x + 7) (16 * 1.5 + -1x * 1.5) = -12(x + 7) (24 + -1.5x) = -12(x + 7) Reorder the terms: 24 + -1.5x = -12(7 + x) 24 + -1.5x = (7 * -12 + x * -12) 24 + -1.5x = (-84 + -12x) Solving 24 + -1.5x = -84 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 24 + -1.5x + 12x = -84 + -12x + 12x Combine like terms: -1.5x + 12x = 10.5x 24 + 10.5x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 10.5x = -84 + 0 24 + 10.5x = -84 Add '-24' to each side of the equation. 24 + -24 + 10.5x = -84 + -24 Combine like terms: 24 + -24 = 0 0 + 10.5x = -84 + -24 10.5x = -84 + -24 Combine like terms: -84 + -24 = -108 10.5x = -108 Divide each side by '10.5'. x = -10.28571429 Simplifying x = -10.28571429
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