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