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Simplifying 0.80x + 0.70(20) = 0.40(105) Multiply 0.70 * 20 0.80x + 14 = 0.40(105) Reorder the terms: 14 + 0.80x = 0.40(105) Multiply 0.40 * 105 14 + 0.80x = 42 Solving 14 + 0.80x = 42 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 = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 0.80x = 42 + -14 0.80x = 42 + -14 Combine like terms: 42 + -14 = 28 0.80x = 28 Divide each side by '0.80'. x = 35 Simplifying x = 35
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