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Simplifying 0.1(60) = 0.3(80 + x) + -0.5x Multiply 0.1 * 60 6 = 0.3(80 + x) + -0.5x 6 = (80 * 0.3 + x * 0.3) + -0.5x 6 = (24 + 0.3x) + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 6 = 24 + -0.2x Solving 6 = 24 + -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. 6 + 0.2x = 24 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 6 + 0.2x = 24 + 0.0 6 + 0.2x = 24 Add '-6' to each side of the equation. 6 + -6 + 0.2x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2x = 24 + -6 0.2x = 24 + -6 Combine like terms: 24 + -6 = 18 0.2x = 18 Divide each side by '0.2'. x = 90 Simplifying x = 90
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