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Simplifying 0.1(x + 80) = 14 + -0.2x Reorder the terms: 0.1(80 + x) = 14 + -0.2x (80 * 0.1 + x * 0.1) = 14 + -0.2x (8 + 0.1x) = 14 + -0.2x Solving 8 + 0.1x = 14 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 8 + 0.1x + 0.2x = 14 + -0.2x + 0.2x Combine like terms: 0.1x + 0.2x = 0.3x 8 + 0.3x = 14 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 8 + 0.3x = 14 + 0.0 8 + 0.3x = 14 Add '-8' to each side of the equation. 8 + -8 + 0.3x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 0.3x = 14 + -8 0.3x = 14 + -8 Combine like terms: 14 + -8 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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