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Simplifying (0.5)(180 + -1x) + -12 = 90 + -1x (180 * 0.5 + -1x * 0.5) + -12 = 90 + -1x (90 + -0.5x) + -12 = 90 + -1x Reorder the terms: 90 + -12 + -0.5x = 90 + -1x Combine like terms: 90 + -12 = 78 78 + -0.5x = 90 + -1x Solving 78 + -0.5x = 90 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 78 + -0.5x + x = 90 + -1x + x Combine like terms: -0.5x + x = 0.5x 78 + 0.5x = 90 + -1x + x Combine like terms: -1x + x = 0 78 + 0.5x = 90 + 0 78 + 0.5x = 90 Add '-78' to each side of the equation. 78 + -78 + 0.5x = 90 + -78 Combine like terms: 78 + -78 = 0 0 + 0.5x = 90 + -78 0.5x = 90 + -78 Combine like terms: 90 + -78 = 12 0.5x = 12 Divide each side by '0.5'. x = 24 Simplifying x = 24
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