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Simplifying 80(1.7 + x) + 25(1.7 + -1x) = 20 (1.7 * 80 + x * 80) + 25(1.7 + -1x) = 20 (136 + 80x) + 25(1.7 + -1x) = 20 136 + 80x + (1.7 * 25 + -1x * 25) = 20 136 + 80x + (42.5 + -25x) = 20 Reorder the terms: 136 + 42.5 + 80x + -25x = 20 Combine like terms: 136 + 42.5 = 178.5 178.5 + 80x + -25x = 20 Combine like terms: 80x + -25x = 55x 178.5 + 55x = 20 Solving 178.5 + 55x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-178.5' to each side of the equation. 178.5 + -178.5 + 55x = 20 + -178.5 Combine like terms: 178.5 + -178.5 = 0.0 0.0 + 55x = 20 + -178.5 55x = 20 + -178.5 Combine like terms: 20 + -178.5 = -158.5 55x = -158.5 Divide each side by '55'. x = -2.881818182 Simplifying x = -2.881818182
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