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Simplifying 6x + 9y = 3x + 12 Reorder the terms: 6x + 9y = 12 + 3x Solving 6x + 9y = 12 + 3x 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. 6x + -3x + 9y = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x + 9y = 12 + 3x + -3x Combine like terms: 3x + -3x = 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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