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