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Simplifying 3(x + -3y) + 12 = x + -2y (x * 3 + -3y * 3) + 12 = x + -2y (3x + -9y) + 12 = x + -2y Reorder the terms: 12 + 3x + -9y = x + -2y Solving 12 + 3x + -9y = x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x + -9y = x + -1x + -2y Combine like terms: 3x + -1x = 2x 12 + 2x + -9y = x + -1x + -2y Combine like terms: x + -1x = 0 12 + 2x + -9y = 0 + -2y 12 + 2x + -9y = -2y Add '-12' to each side of the equation. 12 + 2x + -12 + -9y = -12 + -2y Reorder the terms: 12 + -12 + 2x + -9y = -12 + -2y Combine like terms: 12 + -12 = 0 0 + 2x + -9y = -12 + -2y 2x + -9y = -12 + -2y Add '9y' to each side of the equation. 2x + -9y + 9y = -12 + -2y + 9y Combine like terms: -9y + 9y = 0 2x + 0 = -12 + -2y + 9y 2x = -12 + -2y + 9y Combine like terms: -2y + 9y = 7y 2x = -12 + 7y Divide each side by '2'. x = -6 + 3.5y Simplifying x = -6 + 3.5y
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