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Simplifying 100 = 1.5x + -1(750 + 1.25x) 100 = 1.5x + (750 * -1 + 1.25x * -1) 100 = 1.5x + (-750 + -1.25x) Reorder the terms: 100 = -750 + 1.5x + -1.25x Combine like terms: 1.5x + -1.25x = 0.25x 100 = -750 + 0.25x Solving 100 = -750 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 100 + -0.25x = -750 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 100 + -0.25x = -750 + 0.00 100 + -0.25x = -750 Add '-100' to each side of the equation. 100 + -100 + -0.25x = -750 + -100 Combine like terms: 100 + -100 = 0 0 + -0.25x = -750 + -100 -0.25x = -750 + -100 Combine like terms: -750 + -100 = -850 -0.25x = -850 Divide each side by '-0.25'. x = 3400 Simplifying x = 3400
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