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Simplifying 7(2 + 5x) + 4(8 + -7x) = 60 (2 * 7 + 5x * 7) + 4(8 + -7x) = 60 (14 + 35x) + 4(8 + -7x) = 60 14 + 35x + (8 * 4 + -7x * 4) = 60 14 + 35x + (32 + -28x) = 60 Reorder the terms: 14 + 32 + 35x + -28x = 60 Combine like terms: 14 + 32 = 46 46 + 35x + -28x = 60 Combine like terms: 35x + -28x = 7x 46 + 7x = 60 Solving 46 + 7x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7x = 60 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 60 + -46 7x = 60 + -46 Combine like terms: 60 + -46 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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