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Simplifying 2(3x + 4) = 29 + 3x Reorder the terms: 2(4 + 3x) = 29 + 3x (4 * 2 + 3x * 2) = 29 + 3x (8 + 6x) = 29 + 3x Solving 8 + 6x = 29 + 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. 8 + 6x + -3x = 29 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = 29 + 0 8 + 3x = 29 Add '-8' to each side of the equation. 8 + -8 + 3x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 29 + -8 3x = 29 + -8 Combine like terms: 29 + -8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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