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Simplifying 5x + 2(x + 30) = 1460 Reorder the terms: 5x + 2(30 + x) = 1460 5x + (30 * 2 + x * 2) = 1460 5x + (60 + 2x) = 1460 Reorder the terms: 60 + 5x + 2x = 1460 Combine like terms: 5x + 2x = 7x 60 + 7x = 1460 Solving 60 + 7x = 1460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 7x = 1460 + -60 Combine like terms: 60 + -60 = 0 0 + 7x = 1460 + -60 7x = 1460 + -60 Combine like terms: 1460 + -60 = 1400 7x = 1400 Divide each side by '7'. x = 200 Simplifying x = 200
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