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Simplifying 7x + 2(30) = 5(x + 30) Multiply 2 * 30 7x + 60 = 5(x + 30) Reorder the terms: 60 + 7x = 5(x + 30) Reorder the terms: 60 + 7x = 5(30 + x) 60 + 7x = (30 * 5 + x * 5) 60 + 7x = (150 + 5x) Solving 60 + 7x = 150 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 60 + 7x + -5x = 150 + 5x + -5x Combine like terms: 7x + -5x = 2x 60 + 2x = 150 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 2x = 150 + 0 60 + 2x = 150 Add '-60' to each side of the equation. 60 + -60 + 2x = 150 + -60 Combine like terms: 60 + -60 = 0 0 + 2x = 150 + -60 2x = 150 + -60 Combine like terms: 150 + -60 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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