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