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Simplifying 0.5x + 1(15 + -1x) = 0.6(15) 0.5x + (15 * 1 + -1x * 1) = 0.6(15) 0.5x + (15 + -1x) = 0.6(15) Reorder the terms: 15 + 0.5x + -1x = 0.6(15) Combine like terms: 0.5x + -1x = -0.5x 15 + -0.5x = 0.6(15) Multiply 0.6 * 15 15 + -0.5x = 9 Solving 15 + -0.5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -0.5x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5x = 9 + -15 -0.5x = 9 + -15 Combine like terms: 9 + -15 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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