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Simplifying 34(10 + -2.5x) = 12(2x + -8) + 21.8 (10 * 34 + -2.5x * 34) = 12(2x + -8) + 21.8 (340 + -85x) = 12(2x + -8) + 21.8 Reorder the terms: 340 + -85x = 12(-8 + 2x) + 21.8 340 + -85x = (-8 * 12 + 2x * 12) + 21.8 340 + -85x = (-96 + 24x) + 21.8 Reorder the terms: 340 + -85x = -96 + 21.8 + 24x Combine like terms: -96 + 21.8 = -74.2 340 + -85x = -74.2 + 24x Solving 340 + -85x = -74.2 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 340 + -85x + -24x = -74.2 + 24x + -24x Combine like terms: -85x + -24x = -109x 340 + -109x = -74.2 + 24x + -24x Combine like terms: 24x + -24x = 0 340 + -109x = -74.2 + 0 340 + -109x = -74.2 Add '-340' to each side of the equation. 340 + -340 + -109x = -74.2 + -340 Combine like terms: 340 + -340 = 0 0 + -109x = -74.2 + -340 -109x = -74.2 + -340 Combine like terms: -74.2 + -340 = -414.2 -109x = -414.2 Divide each side by '-109'. x = 3.8 Simplifying x = 3.8
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