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Simplifying 2(5x + 2) = 3(x + 6) Reorder the terms: 2(2 + 5x) = 3(x + 6) (2 * 2 + 5x * 2) = 3(x + 6) (4 + 10x) = 3(x + 6) Reorder the terms: 4 + 10x = 3(6 + x) 4 + 10x = (6 * 3 + x * 3) 4 + 10x = (18 + 3x) Solving 4 + 10x = 18 + 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. 4 + 10x + -3x = 18 + 3x + -3x Combine like terms: 10x + -3x = 7x 4 + 7x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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