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Simplifying 4x + -2y = 3y + 5x Reorder the terms: 4x + -2y = 5x + 3y Solving 4x + -2y = 5x + 3y 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. 4x + -5x + -2y = 5x + -5x + 3y Combine like terms: 4x + -5x = -1x -1x + -2y = 5x + -5x + 3y Combine like terms: 5x + -5x = 0 -1x + -2y = 0 + 3y -1x + -2y = 3y Add '2y' to each side of the equation. -1x + -2y + 2y = 3y + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 3y + 2y -1x = 3y + 2y Combine like terms: 3y + 2y = 5y -1x = 5y Divide each side by '-1'. x = -5y Simplifying x = -5y
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