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Simplifying 2x + 5(x + 6) = 2(x + 30) Reorder the terms: 2x + 5(6 + x) = 2(x + 30) 2x + (6 * 5 + x * 5) = 2(x + 30) 2x + (30 + 5x) = 2(x + 30) Reorder the terms: 30 + 2x + 5x = 2(x + 30) Combine like terms: 2x + 5x = 7x 30 + 7x = 2(x + 30) Reorder the terms: 30 + 7x = 2(30 + x) 30 + 7x = (30 * 2 + x * 2) 30 + 7x = (60 + 2x) Solving 30 + 7x = 60 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 7x + -2x = 60 + 2x + -2x Combine like terms: 7x + -2x = 5x 30 + 5x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 5x = 60 + 0 30 + 5x = 60 Add '-30' to each side of the equation. 30 + -30 + 5x = 60 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 60 + -30 5x = 60 + -30 Combine like terms: 60 + -30 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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