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Simplifying 3x + 8 = 29(x + 6) Reorder the terms: 8 + 3x = 29(x + 6) Reorder the terms: 8 + 3x = 29(6 + x) 8 + 3x = (6 * 29 + x * 29) 8 + 3x = (174 + 29x) Solving 8 + 3x = 174 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 8 + 3x + -29x = 174 + 29x + -29x Combine like terms: 3x + -29x = -26x 8 + -26x = 174 + 29x + -29x Combine like terms: 29x + -29x = 0 8 + -26x = 174 + 0 8 + -26x = 174 Add '-8' to each side of the equation. 8 + -8 + -26x = 174 + -8 Combine like terms: 8 + -8 = 0 0 + -26x = 174 + -8 -26x = 174 + -8 Combine like terms: 174 + -8 = 166 -26x = 166 Divide each side by '-26'. x = -6.384615385 Simplifying x = -6.384615385
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