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