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Simplifying 29 + 4(3x + -5) = 2(3x + 7) + -5 Reorder the terms: 29 + 4(-5 + 3x) = 2(3x + 7) + -5 29 + (-5 * 4 + 3x * 4) = 2(3x + 7) + -5 29 + (-20 + 12x) = 2(3x + 7) + -5 Combine like terms: 29 + -20 = 9 9 + 12x = 2(3x + 7) + -5 Reorder the terms: 9 + 12x = 2(7 + 3x) + -5 9 + 12x = (7 * 2 + 3x * 2) + -5 9 + 12x = (14 + 6x) + -5 Reorder the terms: 9 + 12x = 14 + -5 + 6x Combine like terms: 14 + -5 = 9 9 + 12x = 9 + 6x Add '-9' to each side of the equation. 9 + -9 + 12x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 0 + 12x = 9 + -9 + 6x 12x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 12x = 0 + 6x 12x = 6x Solving 12x = 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. 12x + -6x = 6x + -6x Combine like terms: 12x + -6x = 6x 6x = 6x + -6x Combine like terms: 6x + -6x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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