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Simplifying 5x + 2y = 2x + -4y Solving 5x + 2y = 2x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x + 2y = 2x + -2x + -4y Combine like terms: 5x + -2x = 3x 3x + 2y = 2x + -2x + -4y Combine like terms: 2x + -2x = 0 3x + 2y = 0 + -4y 3x + 2y = -4y Add '-2y' to each side of the equation. 3x + 2y + -2y = -4y + -2y Combine like terms: 2y + -2y = 0 3x + 0 = -4y + -2y 3x = -4y + -2y Combine like terms: -4y + -2y = -6y 3x = -6y Divide each side by '3'. x = -2y Simplifying x = -2y
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