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Simplifying -0.6(60) + 0.8x = 0.2(60 + x) Multiply -0.6 * 60 -36 + 0.8x = 0.2(60 + x) -36 + 0.8x = (60 * 0.2 + x * 0.2) -36 + 0.8x = (12 + 0.2x) Solving -36 + 0.8x = 12 + 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. -36 + 0.8x + -0.2x = 12 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -36 + 0.6x = 12 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -36 + 0.6x = 12 + 0.0 -36 + 0.6x = 12 Add '36' to each side of the equation. -36 + 36 + 0.6x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 0.6x = 12 + 36 0.6x = 12 + 36 Combine like terms: 12 + 36 = 48 0.6x = 48 Divide each side by '0.6'. x = 80 Simplifying x = 80
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