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Simplifying 2(5x + 17) = 3(7 + x) Reorder the terms: 2(17 + 5x) = 3(7 + x) (17 * 2 + 5x * 2) = 3(7 + x) (34 + 10x) = 3(7 + x) 34 + 10x = (7 * 3 + x * 3) 34 + 10x = (21 + 3x) Solving 34 + 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. 34 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x 34 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + 7x = 21 + 0 34 + 7x = 21 Add '-34' to each side of the equation. 34 + -34 + 7x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 21 + -34 7x = 21 + -34 Combine like terms: 21 + -34 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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