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Simplifying 3y + 2x + -4 = 5y + -3x + 2 Reorder the terms: -4 + 2x + 3y = 5y + -3x + 2 Reorder the terms: -4 + 2x + 3y = 2 + -3x + 5y Solving -4 + 2x + 3y = 2 + -3x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 2x + 3x + 3y = 2 + -3x + 3x + 5y Combine like terms: 2x + 3x = 5x -4 + 5x + 3y = 2 + -3x + 3x + 5y Combine like terms: -3x + 3x = 0 -4 + 5x + 3y = 2 + 0 + 5y -4 + 5x + 3y = 2 + 5y Add '4' to each side of the equation. -4 + 5x + 4 + 3y = 2 + 4 + 5y Reorder the terms: -4 + 4 + 5x + 3y = 2 + 4 + 5y Combine like terms: -4 + 4 = 0 0 + 5x + 3y = 2 + 4 + 5y 5x + 3y = 2 + 4 + 5y Combine like terms: 2 + 4 = 6 5x + 3y = 6 + 5y Add '-3y' to each side of the equation. 5x + 3y + -3y = 6 + 5y + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 6 + 5y + -3y 5x = 6 + 5y + -3y Combine like terms: 5y + -3y = 2y 5x = 6 + 2y Divide each side by '5'. x = 1.2 + 0.4y Simplifying x = 1.2 + 0.4y
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