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Simplifying 0.1(30) = 0.3(60 + x) + -0.5x Multiply 0.1 * 30 3 = 0.3(60 + x) + -0.5x 3 = (60 * 0.3 + x * 0.3) + -0.5x 3 = (18 + 0.3x) + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 3 = 18 + -0.2x Solving 3 = 18 + -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. 3 + 0.2x = 18 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 3 + 0.2x = 18 + 0.0 3 + 0.2x = 18 Add '-3' to each side of the equation. 3 + -3 + 0.2x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = 18 + -3 0.2x = 18 + -3 Combine like terms: 18 + -3 = 15 0.2x = 15 Divide each side by '0.2'. x = 75 Simplifying x = 75
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