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Simplifying 6x + 2 + 3x + 6q = 17 Reorder the terms: 2 + 6q + 6x + 3x = 17 Combine like terms: 6x + 3x = 9x 2 + 6q + 9x = 17 Solving 2 + 6q + 9x = 17 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6q + -2 + 9x = 17 + -2 Reorder the terms: 2 + -2 + 6q + 9x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 6q + 9x = 17 + -2 6q + 9x = 17 + -2 Combine like terms: 17 + -2 = 15 6q + 9x = 15 Add '-9x' to each side of the equation. 6q + 9x + -9x = 15 + -9x Combine like terms: 9x + -9x = 0 6q + 0 = 15 + -9x 6q = 15 + -9x Divide each side by '6'. q = 2.5 + -1.5x Simplifying q = 2.5 + -1.5x
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