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Simplifying 3(x + -1y) = x + -12 (x * 3 + -1y * 3) = x + -12 (3x + -3y) = x + -12 Reorder the terms: 3x + -3y = -12 + x Solving 3x + -3y = -12 + x 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. 3x + -1x + -3y = -12 + x + -1x Combine like terms: 3x + -1x = 2x 2x + -3y = -12 + x + -1x Combine like terms: x + -1x = 0 2x + -3y = -12 + 0 2x + -3y = -12 Add '3y' to each side of the equation. 2x + -3y + 3y = -12 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -12 + 3y 2x = -12 + 3y Divide each side by '2'. x = -6 + 1.5y Simplifying x = -6 + 1.5y
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