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Simplifying 0.8(x + 80) + 0.6x = 113 Reorder the terms: 0.8(80 + x) + 0.6x = 113 (80 * 0.8 + x * 0.8) + 0.6x = 113 (64 + 0.8x) + 0.6x = 113 Combine like terms: 0.8x + 0.6x = 1.4x 64 + 1.4x = 113 Solving 64 + 1.4x = 113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 1.4x = 113 + -64 Combine like terms: 64 + -64 = 0 0 + 1.4x = 113 + -64 1.4x = 113 + -64 Combine like terms: 113 + -64 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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