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Simplifying 500 = 1.5x + -1(650 + 1.25x) 500 = 1.5x + (650 * -1 + 1.25x * -1) 500 = 1.5x + (-650 + -1.25x) Reorder the terms: 500 = -650 + 1.5x + -1.25x Combine like terms: 1.5x + -1.25x = 0.25x 500 = -650 + 0.25x Solving 500 = -650 + 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. 500 + -0.25x = -650 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 500 + -0.25x = -650 + 0.00 500 + -0.25x = -650 Add '-500' to each side of the equation. 500 + -500 + -0.25x = -650 + -500 Combine like terms: 500 + -500 = 0 0 + -0.25x = -650 + -500 -0.25x = -650 + -500 Combine like terms: -650 + -500 = -1150 -0.25x = -1150 Divide each side by '-0.25'. x = 4600 Simplifying x = 4600
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