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Simplifying 0.80x + 0.10(140) = 0.40(49) Multiply 0.10 * 140 0.80x + 14 = 0.40(49) Reorder the terms: 14 + 0.80x = 0.40(49) Multiply 0.40 * 49 14 + 0.80x = 19.6 Solving 14 + 0.80x = 19.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 0.80x = 19.6 + -14 Combine like terms: 14 + -14 = 0 0 + 0.80x = 19.6 + -14 0.80x = 19.6 + -14 Combine like terms: 19.6 + -14 = 5.6 0.80x = 5.6 Divide each side by '0.80'. x = 7 Simplifying x = 7
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