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Simplifying 0.5(16 + -1x) = 12(x + 7) (16 * 0.5 + -1x * 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 = 76 -12.5x = 76 Divide each side by '-12.5'. x = -6.08 Simplifying x = -6.08
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