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Simplifying 0.49x + 0.77(140 + -1x) = 0.73(140) 0.49x + (140 * 0.77 + -1x * 0.77) = 0.73(140) 0.49x + (107.8 + -0.77x) = 0.73(140) Reorder the terms: 107.8 + 0.49x + -0.77x = 0.73(140) Combine like terms: 0.49x + -0.77x = -0.28x 107.8 + -0.28x = 0.73(140) Multiply 0.73 * 140 107.8 + -0.28x = 102.2 Solving 107.8 + -0.28x = 102.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-107.8' to each side of the equation. 107.8 + -107.8 + -0.28x = 102.2 + -107.8 Combine like terms: 107.8 + -107.8 = 0.0 0.0 + -0.28x = 102.2 + -107.8 -0.28x = 102.2 + -107.8 Combine like terms: 102.2 + -107.8 = -5.6 -0.28x = -5.6 Divide each side by '-0.28'. x = 20 Simplifying x = 20
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