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Simplifying 0.8x + -0.5(60 + x) = -0.2(60) 0.8x + (60 * -0.5 + x * -0.5) = -0.2(60) 0.8x + (-30 + -0.5x) = -0.2(60) Reorder the terms: -30 + 0.8x + -0.5x = -0.2(60) Combine like terms: 0.8x + -0.5x = 0.3x -30 + 0.3x = -0.2(60) Multiply -0.2 * 60 -30 + 0.3x = -12 Solving -30 + 0.3x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 0.3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 0.3x = -12 + 30 0.3x = -12 + 30 Combine like terms: -12 + 30 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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