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Simplifying 2(5x + 7) = 3(7 + x) Reorder the terms: 2(7 + 5x) = 3(7 + x) (7 * 2 + 5x * 2) = 3(7 + x) (14 + 10x) = 3(7 + x) 14 + 10x = (7 * 3 + x * 3) 14 + 10x = (21 + 3x) Solving 14 + 10x = 21 + 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. 14 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x 14 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 7x = 21 + 0 14 + 7x = 21 Add '-14' to each side of the equation. 14 + -14 + 7x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 21 + -14 7x = 21 + -14 Combine like terms: 21 + -14 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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