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Simplifying 5x + -4y = 6x + -2y + 3 Reorder the terms: 5x + -4y = 3 + 6x + -2y Solving 5x + -4y = 3 + 6x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5x + -6x + -4y = 3 + 6x + -6x + -2y Combine like terms: 5x + -6x = -1x -1x + -4y = 3 + 6x + -6x + -2y Combine like terms: 6x + -6x = 0 -1x + -4y = 3 + 0 + -2y -1x + -4y = 3 + -2y Add '4y' to each side of the equation. -1x + -4y + 4y = 3 + -2y + 4y Combine like terms: -4y + 4y = 0 -1x + 0 = 3 + -2y + 4y -1x = 3 + -2y + 4y Combine like terms: -2y + 4y = 2y -1x = 3 + 2y Divide each side by '-1'. x = -3 + -2y Simplifying x = -3 + -2y
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