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