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Simplifying 3[2x + -1y] = 9x + 12 [2x * 3 + -1y * 3] = 9x + 12 [6x + -3y] = 9x + 12 Reorder the terms: 6x + -3y = 12 + 9x Solving 6x + -3y = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6x + -9x + -3y = 12 + 9x + -9x Combine like terms: 6x + -9x = -3x -3x + -3y = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -3x + -3y = 12 + 0 -3x + -3y = 12 Add '3y' to each side of the equation. -3x + -3y + 3y = 12 + 3y Combine like terms: -3y + 3y = 0 -3x + 0 = 12 + 3y -3x = 12 + 3y Divide each side by '-3'. x = -4 + -1y Simplifying x = -4 + -1y
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