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Simplifying (0.2)(60 + -1x) + (0.35)(x) = (0.3)(60) (60 * 0.2 + -1x * 0.2) + (0.35)(x) = (0.3)(60) (12 + -0.2x) + (0.35)(x) = (0.3)(60) Combine like terms: -0.2x + 0.35x = 0.15x 12 + 0.15x = (0.3)(60) Multiply 0.3 * 60 12 + 0.15x = 18 Solving 12 + 0.15x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.15x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.15x = 18 + -12 0.15x = 18 + -12 Combine like terms: 18 + -12 = 6 0.15x = 6 Divide each side by '0.15'. x = 40 Simplifying x = 40
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