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Simplifying x(2 + q) = 5x + -6(3 + -1q) (2 * x + q * x) = 5x + -6(3 + -1q) Reorder the terms: (qx + 2x) = 5x + -6(3 + -1q) (qx + 2x) = 5x + -6(3 + -1q) qx + 2x = 5x + (3 * -6 + -1q * -6) qx + 2x = 5x + (-18 + 6q) Reorder the terms: qx + 2x = -18 + 6q + 5x Solving qx + 2x = -18 + 6q + 5x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. qx + -6q + 2x = -18 + 6q + -6q + 5x Reorder the terms: -6q + qx + 2x = -18 + 6q + -6q + 5x Combine like terms: 6q + -6q = 0 -6q + qx + 2x = -18 + 0 + 5x -6q + qx + 2x = -18 + 5x Add '-2x' to each side of the equation. -6q + qx + 2x + -2x = -18 + 5x + -2x Combine like terms: 2x + -2x = 0 -6q + qx + 0 = -18 + 5x + -2x -6q + qx = -18 + 5x + -2x Combine like terms: 5x + -2x = 3x -6q + qx = -18 + 3x Reorder the terms: 18 + -6q + qx + -3x = -18 + 3x + 18 + -3x Reorder the terms: 18 + -6q + qx + -3x = -18 + 18 + 3x + -3x Combine like terms: -18 + 18 = 0 18 + -6q + qx + -3x = 0 + 3x + -3x 18 + -6q + qx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 18 + -6q + qx + -3x = 0 The solution to this equation could not be determined.
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