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Simplifying 5(x + 1) + 2(x + 1) = 60 Reorder the terms: 5(1 + x) + 2(x + 1) = 60 (1 * 5 + x * 5) + 2(x + 1) = 60 (5 + 5x) + 2(x + 1) = 60 Reorder the terms: 5 + 5x + 2(1 + x) = 60 5 + 5x + (1 * 2 + x * 2) = 60 5 + 5x + (2 + 2x) = 60 Reorder the terms: 5 + 2 + 5x + 2x = 60 Combine like terms: 5 + 2 = 7 7 + 5x + 2x = 60 Combine like terms: 5x + 2x = 7x 7 + 7x = 60 Solving 7 + 7x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7x = 60 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 60 + -7 7x = 60 + -7 Combine like terms: 60 + -7 = 53 7x = 53 Divide each side by '7'. x = 7.571428571 Simplifying x = 7.571428571
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