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Simplifying 2(5x + 1) = 3(x + 12) Reorder the terms: 2(1 + 5x) = 3(x + 12) (1 * 2 + 5x * 2) = 3(x + 12) (2 + 10x) = 3(x + 12) Reorder the terms: 2 + 10x = 3(12 + x) 2 + 10x = (12 * 3 + x * 3) 2 + 10x = (36 + 3x) Solving 2 + 10x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 10x + -3x = 36 + 3x + -3x Combine like terms: 10x + -3x = 7x 2 + 7x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 7x = 36 + 0 2 + 7x = 36 Add '-2' to each side of the equation. 2 + -2 + 7x = 36 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 36 + -2 7x = 36 + -2 Combine like terms: 36 + -2 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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