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Simplifying 0.6x + -0.3(60 + x) = -0.05(60) 0.6x + (60 * -0.3 + x * -0.3) = -0.05(60) 0.6x + (-18 + -0.3x) = -0.05(60) Reorder the terms: -18 + 0.6x + -0.3x = -0.05(60) Combine like terms: 0.6x + -0.3x = 0.3x -18 + 0.3x = -0.05(60) Multiply -0.05 * 60 -18 + 0.3x = -3 Solving -18 + 0.3x = -3 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 + 0.3x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 0.3x = -3 + 18 0.3x = -3 + 18 Combine like terms: -3 + 18 = 15 0.3x = 15 Divide each side by '0.3'. x = 50 Simplifying x = 50
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