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Simplifying 15x + -3(4x + -6) = 3q + 9 + -9x Reorder the terms: 15x + -3(-6 + 4x) = 3q + 9 + -9x 15x + (-6 * -3 + 4x * -3) = 3q + 9 + -9x 15x + (18 + -12x) = 3q + 9 + -9x Reorder the terms: 18 + 15x + -12x = 3q + 9 + -9x Combine like terms: 15x + -12x = 3x 18 + 3x = 3q + 9 + -9x Reorder the terms: 18 + 3x = 9 + 3q + -9x Solving 18 + 3x = 9 + 3q + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 18 + 3x + 9x = 9 + 3q + -9x + 9x Combine like terms: 3x + 9x = 12x 18 + 12x = 9 + 3q + -9x + 9x Combine like terms: -9x + 9x = 0 18 + 12x = 9 + 3q + 0 18 + 12x = 9 + 3q Add '-18' to each side of the equation. 18 + -18 + 12x = 9 + -18 + 3q Combine like terms: 18 + -18 = 0 0 + 12x = 9 + -18 + 3q 12x = 9 + -18 + 3q Combine like terms: 9 + -18 = -9 12x = -9 + 3q Divide each side by '12'. x = -0.75 + 0.25q Simplifying x = -0.75 + 0.25q
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