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Simplifying 7(3x + 5) + -3(5x + 6) = 29 Reorder the terms: 7(5 + 3x) + -3(5x + 6) = 29 (5 * 7 + 3x * 7) + -3(5x + 6) = 29 (35 + 21x) + -3(5x + 6) = 29 Reorder the terms: 35 + 21x + -3(6 + 5x) = 29 35 + 21x + (6 * -3 + 5x * -3) = 29 35 + 21x + (-18 + -15x) = 29 Reorder the terms: 35 + -18 + 21x + -15x = 29 Combine like terms: 35 + -18 = 17 17 + 21x + -15x = 29 Combine like terms: 21x + -15x = 6x 17 + 6x = 29 Solving 17 + 6x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 29 + -17 6x = 29 + -17 Combine like terms: 29 + -17 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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