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Simplifying 34(2x + 8) = (6x + 15) Reorder the terms: 34(8 + 2x) = (6x + 15) (8 * 34 + 2x * 34) = (6x + 15) (272 + 68x) = (6x + 15) Reorder the terms: 272 + 68x = (15 + 6x) Remove parenthesis around (15 + 6x) 272 + 68x = 15 + 6x Solving 272 + 68x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 272 + 68x + -6x = 15 + 6x + -6x Combine like terms: 68x + -6x = 62x 272 + 62x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 272 + 62x = 15 + 0 272 + 62x = 15 Add '-272' to each side of the equation. 272 + -272 + 62x = 15 + -272 Combine like terms: 272 + -272 = 0 0 + 62x = 15 + -272 62x = 15 + -272 Combine like terms: 15 + -272 = -257 62x = -257 Divide each side by '62'. x = -4.14516129 Simplifying x = -4.14516129
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