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Simplifying 50 = 0.75x + -1(0.25x + 7.5) Reorder the terms: 50 = 0.75x + -1(7.5 + 0.25x) 50 = 0.75x + (7.5 * -1 + 0.25x * -1) 50 = 0.75x + (-7.5 + -0.25x) Reorder the terms: 50 = -7.5 + 0.75x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 50 = -7.5 + 0.5x Solving 50 = -7.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 50 + -0.5x = -7.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 50 + -0.5x = -7.5 + 0.0 50 + -0.5x = -7.5 Add '-50' to each side of the equation. 50 + -50 + -0.5x = -7.5 + -50 Combine like terms: 50 + -50 = 0 0 + -0.5x = -7.5 + -50 -0.5x = -7.5 + -50 Combine like terms: -7.5 + -50 = -57.5 -0.5x = -57.5 Divide each side by '-0.5'. x = 115 Simplifying x = 115
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