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Simplifying 0.75x + 17 = 2(0.625x + -34) Reorder the terms: 17 + 0.75x = 2(0.625x + -34) Reorder the terms: 17 + 0.75x = 2(-34 + 0.625x) 17 + 0.75x = (-34 * 2 + 0.625x * 2) 17 + 0.75x = (-68 + 1.25x) Solving 17 + 0.75x = -68 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 17 + 0.75x + -1.25x = -68 + 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 17 + -0.5x = -68 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 17 + -0.5x = -68 + 0.00 17 + -0.5x = -68 Add '-17' to each side of the equation. 17 + -17 + -0.5x = -68 + -17 Combine like terms: 17 + -17 = 0 0 + -0.5x = -68 + -17 -0.5x = -68 + -17 Combine like terms: -68 + -17 = -85 -0.5x = -85 Divide each side by '-0.5'. x = 170 Simplifying x = 170
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