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Simplifying 34(7 + -2.5x) = 14(2x + -10) + 61.6 (7 * 34 + -2.5x * 34) = 14(2x + -10) + 61.6 (238 + -85x) = 14(2x + -10) + 61.6 Reorder the terms: 238 + -85x = 14(-10 + 2x) + 61.6 238 + -85x = (-10 * 14 + 2x * 14) + 61.6 238 + -85x = (-140 + 28x) + 61.6 Reorder the terms: 238 + -85x = -140 + 61.6 + 28x Combine like terms: -140 + 61.6 = -78.4 238 + -85x = -78.4 + 28x Solving 238 + -85x = -78.4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 238 + -85x + -28x = -78.4 + 28x + -28x Combine like terms: -85x + -28x = -113x 238 + -113x = -78.4 + 28x + -28x Combine like terms: 28x + -28x = 0 238 + -113x = -78.4 + 0 238 + -113x = -78.4 Add '-238' to each side of the equation. 238 + -238 + -113x = -78.4 + -238 Combine like terms: 238 + -238 = 0 0 + -113x = -78.4 + -238 -113x = -78.4 + -238 Combine like terms: -78.4 + -238 = -316.4 -113x = -316.4 Divide each side by '-113'. x = 2.8 Simplifying x = 2.8
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