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Simplifying 15x + -3(4x + -6) = 3q + 9 + -9q Reorder the terms: 15x + -3(-6 + 4x) = 3q + 9 + -9q 15x + (-6 * -3 + 4x * -3) = 3q + 9 + -9q 15x + (18 + -12x) = 3q + 9 + -9q Reorder the terms: 18 + 15x + -12x = 3q + 9 + -9q Combine like terms: 15x + -12x = 3x 18 + 3x = 3q + 9 + -9q Reorder the terms: 18 + 3x = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 18 + 3x = 9 + -6q Solving 18 + 3x = 9 + -6q Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 9 + -18 + -6q Combine like terms: 18 + -18 = 0 0 + 3x = 9 + -18 + -6q 3x = 9 + -18 + -6q Combine like terms: 9 + -18 = -9 3x = -9 + -6q Divide each side by '3'. x = -3 + -2q Simplifying x = -3 + -2q
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