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Simplifying 0.80x + 0.80(10) = 0.40(114) Multiply 0.80 * 10 0.80x + 8 = 0.40(114) Reorder the terms: 8 + 0.80x = 0.40(114) Multiply 0.40 * 114 8 + 0.80x = 45.6 Solving 8 + 0.80x = 45.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.80x = 45.6 + -8 Combine like terms: 8 + -8 = 0 0 + 0.80x = 45.6 + -8 0.80x = 45.6 + -8 Combine like terms: 45.6 + -8 = 37.6 0.80x = 37.6 Divide each side by '0.80'. x = 47 Simplifying x = 47
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