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Simplifying 0.50x + 0.30(140 + -1x) = 0.40(140) 0.50x + (140 * 0.30 + -1x * 0.30) = 0.40(140) 0.50x + (42 + -0.3x) = 0.40(140) Reorder the terms: 42 + 0.50x + -0.3x = 0.40(140) Combine like terms: 0.50x + -0.3x = 0.2x 42 + 0.2x = 0.40(140) Multiply 0.40 * 140 42 + 0.2x = 56 Solving 42 + 0.2x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 0.2x = 56 + -42 Combine like terms: 42 + -42 = 0 0 + 0.2x = 56 + -42 0.2x = 56 + -42 Combine like terms: 56 + -42 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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