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Simplifying 0.5x + -0.3(60 + x) = 0.5(60) 0.5x + (60 * -0.3 + x * -0.3) = 0.5(60) 0.5x + (-18 + -0.3x) = 0.5(60) Reorder the terms: -18 + 0.5x + -0.3x = 0.5(60) Combine like terms: 0.5x + -0.3x = 0.2x -18 + 0.2x = 0.5(60) Multiply 0.5 * 60 -18 + 0.2x = 30 Solving -18 + 0.2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 0.2x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 0.2x = 30 + 18 0.2x = 30 + 18 Combine like terms: 30 + 18 = 48 0.2x = 48 Divide each side by '0.2'. x = 240 Simplifying x = 240
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