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Simplifying 34(x + 8) = 3 + 2(x + 7) Reorder the terms: 34(8 + x) = 3 + 2(x + 7) (8 * 34 + x * 34) = 3 + 2(x + 7) (272 + 34x) = 3 + 2(x + 7) Reorder the terms: 272 + 34x = 3 + 2(7 + x) 272 + 34x = 3 + (7 * 2 + x * 2) 272 + 34x = 3 + (14 + 2x) Combine like terms: 3 + 14 = 17 272 + 34x = 17 + 2x Solving 272 + 34x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 272 + 34x + -2x = 17 + 2x + -2x Combine like terms: 34x + -2x = 32x 272 + 32x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 272 + 32x = 17 + 0 272 + 32x = 17 Add '-272' to each side of the equation. 272 + -272 + 32x = 17 + -272 Combine like terms: 272 + -272 = 0 0 + 32x = 17 + -272 32x = 17 + -272 Combine like terms: 17 + -272 = -255 32x = -255 Divide each side by '32'. x = -7.96875 Simplifying x = -7.96875
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