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Simplifying 0.25x + 0.10(170 + -1x) = 0.65x 0.25x + (170 * 0.10 + -1x * 0.10) = 0.65x 0.25x + (17 + -0.1x) = 0.65x Reorder the terms: 17 + 0.25x + -0.1x = 0.65x Combine like terms: 0.25x + -0.1x = 0.15x 17 + 0.15x = 0.65x Solving 17 + 0.15x = 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 17 + 0.15x + -0.65x = 0.65x + -0.65x Combine like terms: 0.15x + -0.65x = -0.5x 17 + -0.5x = 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 17 + -0.5x = 0.00 Add '-17' to each side of the equation. 17 + -17 + -0.5x = 0.00 + -17 Combine like terms: 17 + -17 = 0 0 + -0.5x = 0.00 + -17 -0.5x = 0.00 + -17 Combine like terms: 0.00 + -17 = -17 -0.5x = -17 Divide each side by '-0.5'. x = 34 Simplifying x = 34
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