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Simplifying 0.1(x + 80) + 0.2y = 14 Reorder the terms: 0.1(80 + x) + 0.2y = 14 (80 * 0.1 + x * 0.1) + 0.2y = 14 (8 + 0.1x) + 0.2y = 14 Solving 8 + 0.1x + 0.2y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 0.1x + -8 + 0.2y = 14 + -8 Reorder the terms: 8 + -8 + 0.1x + 0.2y = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 0.1x + 0.2y = 14 + -8 0.1x + 0.2y = 14 + -8 Combine like terms: 14 + -8 = 6 0.1x + 0.2y = 6 Add '-0.2y' to each side of the equation. 0.1x + 0.2y + -0.2y = 6 + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 0.1x + 0.0 = 6 + -0.2y 0.1x = 6 + -0.2y Divide each side by '0.1'. x = 60 + -2y Simplifying x = 60 + -2y
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