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Simplifying 0.6(100 + -1x) = x (100 * 0.6 + -1x * 0.6) = x (60 + -0.6x) = x Solving 60 + -0.6x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 60 + -0.6x + -1x = x + -1x Combine like terms: -0.6x + -1x = -1.6x 60 + -1.6x = x + -1x Combine like terms: x + -1x = 0 60 + -1.6x = 0 Add '-60' to each side of the equation. 60 + -60 + -1.6x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1.6x = 0 + -60 -1.6x = 0 + -60 Combine like terms: 0 + -60 = -60 -1.6x = -60 Divide each side by '-1.6'. x = 37.5 Simplifying x = 37.5
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