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Simplifying 0.25(x) + 0.6(140 + -1x) = 0.30(140) 0.25x + (140 * 0.6 + -1x * 0.6) = 0.30(140) 0.25x + (84 + -0.6x) = 0.30(140) Reorder the terms: 84 + 0.25x + -0.6x = 0.30(140) Combine like terms: 0.25x + -0.6x = -0.35x 84 + -0.35x = 0.30(140) Multiply 0.30 * 140 84 + -0.35x = 42 Solving 84 + -0.35x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -0.35x = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -0.35x = 42 + -84 -0.35x = 42 + -84 Combine like terms: 42 + -84 = -42 -0.35x = -42 Divide each side by '-0.35'. x = 120 Simplifying x = 120
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