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Simplifying 0.6(100 + -1x) + 0.4x = 0.5(92) (100 * 0.6 + -1x * 0.6) + 0.4x = 0.5(92) (60 + -0.6x) + 0.4x = 0.5(92) Combine like terms: -0.6x + 0.4x = -0.2x 60 + -0.2x = 0.5(92) Multiply 0.5 * 92 60 + -0.2x = 46 Solving 60 + -0.2x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -0.2x = 46 + -60 Combine like terms: 60 + -60 = 0 0 + -0.2x = 46 + -60 -0.2x = 46 + -60 Combine like terms: 46 + -60 = -14 -0.2x = -14 Divide each side by '-0.2'. x = 70 Simplifying x = 70
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