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Simplifying 0.5(16 + x) = -12(x + 7) (16 * 0.5 + x * 0.5) = -12(x + 7) (8 + 0.5x) = -12(x + 7) Reorder the terms: 8 + 0.5x = -12(7 + x) 8 + 0.5x = (7 * -12 + x * -12) 8 + 0.5x = (-84 + -12x) Solving 8 + 0.5x = -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. 8 + 0.5x + 12x = -84 + -12x + 12x Combine like terms: 0.5x + 12x = 12.5x 8 + 12.5x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 12.5x = -84 + 0 8 + 12.5x = -84 Add '-8' to each side of the equation. 8 + -8 + 12.5x = -84 + -8 Combine like terms: 8 + -8 = 0 0 + 12.5x = -84 + -8 12.5x = -84 + -8 Combine like terms: -84 + -8 = -92 12.5x = -92 Divide each side by '12.5'. x = -7.36 Simplifying x = -7.36
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