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Simplifying 7(q + 2x) + 3x = -29 + 5x (q * 7 + 2x * 7) + 3x = -29 + 5x (7q + 14x) + 3x = -29 + 5x Combine like terms: 14x + 3x = 17x 7q + 17x = -29 + 5x Solving 7q + 17x = -29 + 5x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17x' to each side of the equation. 7q + 17x + -17x = -29 + 5x + -17x Combine like terms: 17x + -17x = 0 7q + 0 = -29 + 5x + -17x 7q = -29 + 5x + -17x Combine like terms: 5x + -17x = -12x 7q = -29 + -12x Divide each side by '7'. q = -4.142857143 + -1.714285714x Simplifying q = -4.142857143 + -1.714285714x
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