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Simplifying -1x + 100 = -1.5x + 125 Reorder the terms: 100 + -1x = -1.5x + 125 Reorder the terms: 100 + -1x = 125 + -1.5x Solving 100 + -1x = 125 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 100 + -1x + 1.5x = 125 + -1.5x + 1.5x Combine like terms: -1x + 1.5x = 0.5x 100 + 0.5x = 125 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 100 + 0.5x = 125 + 0.0 100 + 0.5x = 125 Add '-100' to each side of the equation. 100 + -100 + 0.5x = 125 + -100 Combine like terms: 100 + -100 = 0 0 + 0.5x = 125 + -100 0.5x = 125 + -100 Combine like terms: 125 + -100 = 25 0.5x = 25 Divide each side by '0.5'. x = 50 Simplifying x = 50
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