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Simplifying 0.42x + 0.70(140 + -1x) = 0.66(140) 0.42x + (140 * 0.70 + -1x * 0.70) = 0.66(140) 0.42x + (98 + -0.7x) = 0.66(140) Reorder the terms: 98 + 0.42x + -0.7x = 0.66(140) Combine like terms: 0.42x + -0.7x = -0.28x 98 + -0.28x = 0.66(140) Multiply 0.66 * 140 98 + -0.28x = 92.4 Solving 98 + -0.28x = 92.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -0.28x = 92.4 + -98 Combine like terms: 98 + -98 = 0 0 + -0.28x = 92.4 + -98 -0.28x = 92.4 + -98 Combine like terms: 92.4 + -98 = -5.6 -0.28x = -5.6 Divide each side by '-0.28'. x = 20 Simplifying x = 20
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