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Simplifying 0.25(x + 60) + -0.08(x + -30) = 15.7 Reorder the terms: 0.25(60 + x) + -0.08(x + -30) = 15.7 (60 * 0.25 + x * 0.25) + -0.08(x + -30) = 15.7 (15 + 0.25x) + -0.08(x + -30) = 15.7 Reorder the terms: 15 + 0.25x + -0.08(-30 + x) = 15.7 15 + 0.25x + (-30 * -0.08 + x * -0.08) = 15.7 15 + 0.25x + (2.4 + -0.08x) = 15.7 Reorder the terms: 15 + 2.4 + 0.25x + -0.08x = 15.7 Combine like terms: 15 + 2.4 = 17.4 17.4 + 0.25x + -0.08x = 15.7 Combine like terms: 0.25x + -0.08x = 0.17x 17.4 + 0.17x = 15.7 Solving 17.4 + 0.17x = 15.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.4' to each side of the equation. 17.4 + -17.4 + 0.17x = 15.7 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + 0.17x = 15.7 + -17.4 0.17x = 15.7 + -17.4 Combine like terms: 15.7 + -17.4 = -1.7 0.17x = -1.7 Divide each side by '0.17'. x = -10 Simplifying x = -10
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