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Simplifying -6(-2x + 6) + -3 = 6 + 1(-6y + 9) Reorder the terms: -6(6 + -2x) + -3 = 6 + 1(-6y + 9) (6 * -6 + -2x * -6) + -3 = 6 + 1(-6y + 9) (-36 + 12x) + -3 = 6 + 1(-6y + 9) Reorder the terms: -36 + -3 + 12x = 6 + 1(-6y + 9) Combine like terms: -36 + -3 = -39 -39 + 12x = 6 + 1(-6y + 9) Reorder the terms: -39 + 12x = 6 + 1(9 + -6y) -39 + 12x = 6 + (9 * 1 + -6y * 1) -39 + 12x = 6 + (9 + -6y) Combine like terms: 6 + 9 = 15 -39 + 12x = 15 + -6y Solving -39 + 12x = 15 + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 12x = 15 + 39 + -6y Combine like terms: -39 + 39 = 0 0 + 12x = 15 + 39 + -6y 12x = 15 + 39 + -6y Combine like terms: 15 + 39 = 54 12x = 54 + -6y Divide each side by '12'. x = 4.5 + -0.5y Simplifying x = 4.5 + -0.5y
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