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Simplifying 0.43x + 0.71(140 + -1x) = 0.67(140) 0.43x + (140 * 0.71 + -1x * 0.71) = 0.67(140) 0.43x + (99.4 + -0.71x) = 0.67(140) Reorder the terms: 99.4 + 0.43x + -0.71x = 0.67(140) Combine like terms: 0.43x + -0.71x = -0.28x 99.4 + -0.28x = 0.67(140) Multiply 0.67 * 140 99.4 + -0.28x = 93.8 Solving 99.4 + -0.28x = 93.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99.4' to each side of the equation. 99.4 + -99.4 + -0.28x = 93.8 + -99.4 Combine like terms: 99.4 + -99.4 = 0.0 0.0 + -0.28x = 93.8 + -99.4 -0.28x = 93.8 + -99.4 Combine like terms: 93.8 + -99.4 = -5.6 -0.28x = -5.6 Divide each side by '-0.28'. x = 20 Simplifying x = 20
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