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Simplifying 0.80x + 0.25(60) = 0.70(x + 60) Multiply 0.25 * 60 0.80x + 15 = 0.70(x + 60) Reorder the terms: 15 + 0.80x = 0.70(x + 60) Reorder the terms: 15 + 0.80x = 0.70(60 + x) 15 + 0.80x = (60 * 0.70 + x * 0.70) 15 + 0.80x = (42 + 0.70x) Solving 15 + 0.80x = 42 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 15 + 0.80x + -0.70x = 42 + 0.70x + -0.70x Combine like terms: 0.80x + -0.70x = 0.1x 15 + 0.1x = 42 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 15 + 0.1x = 42 + 0.00 15 + 0.1x = 42 Add '-15' to each side of the equation. 15 + -15 + 0.1x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 42 + -15 0.1x = 42 + -15 Combine like terms: 42 + -15 = 27 0.1x = 27 Divide each side by '0.1'. x = 270 Simplifying x = 270
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