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Simplifying 34(10 + -2.5x) = 16(2x + -9) + 62.8 (10 * 34 + -2.5x * 34) = 16(2x + -9) + 62.8 (340 + -85x) = 16(2x + -9) + 62.8 Reorder the terms: 340 + -85x = 16(-9 + 2x) + 62.8 340 + -85x = (-9 * 16 + 2x * 16) + 62.8 340 + -85x = (-144 + 32x) + 62.8 Reorder the terms: 340 + -85x = -144 + 62.8 + 32x Combine like terms: -144 + 62.8 = -81.2 340 + -85x = -81.2 + 32x Solving 340 + -85x = -81.2 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 340 + -85x + -32x = -81.2 + 32x + -32x Combine like terms: -85x + -32x = -117x 340 + -117x = -81.2 + 32x + -32x Combine like terms: 32x + -32x = 0 340 + -117x = -81.2 + 0 340 + -117x = -81.2 Add '-340' to each side of the equation. 340 + -340 + -117x = -81.2 + -340 Combine like terms: 340 + -340 = 0 0 + -117x = -81.2 + -340 -117x = -81.2 + -340 Combine like terms: -81.2 + -340 = -421.2 -117x = -421.2 Divide each side by '-117'. x = 3.6 Simplifying x = 3.6
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