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Simplifying 5x + 4y = 12 + 3x Solving 5x + 4y = 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. 5x + -3x + 4y = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x + 4y = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 2x + 4y = 12 + 0 2x + 4y = 12 Add '-4y' to each side of the equation. 2x + 4y + -4y = 12 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 12 + -4y 2x = 12 + -4y Divide each side by '2'. x = 6 + -2y Simplifying x = 6 + -2y
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