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Simplifying x + 6(x + -1q) = 7(3 + x) Reorder the terms: x + 6(-1q + x) = 7(3 + x) x + (-1q * 6 + x * 6) = 7(3 + x) x + (-6q + 6x) = 7(3 + x) Reorder the terms: -6q + x + 6x = 7(3 + x) Combine like terms: x + 6x = 7x -6q + 7x = 7(3 + x) -6q + 7x = (3 * 7 + x * 7) -6q + 7x = (21 + 7x) Add '-7x' to each side of the equation. -6q + 7x + -7x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6q + 0 = 21 + 7x + -7x -6q = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6q = 21 + 0 -6q = 21 Solving -6q = 21 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '-6'. q = -3.5 Simplifying q = -3.5
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