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Simplifying 2x + -3y + 6 = 3y + -5x + -4 Reorder the terms: 6 + 2x + -3y = 3y + -5x + -4 Reorder the terms: 6 + 2x + -3y = -4 + -5x + 3y Solving 6 + 2x + -3y = -4 + -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. 6 + 2x + 5x + -3y = -4 + -5x + 5x + 3y Combine like terms: 2x + 5x = 7x 6 + 7x + -3y = -4 + -5x + 5x + 3y Combine like terms: -5x + 5x = 0 6 + 7x + -3y = -4 + 0 + 3y 6 + 7x + -3y = -4 + 3y Add '-6' to each side of the equation. 6 + 7x + -6 + -3y = -4 + -6 + 3y Reorder the terms: 6 + -6 + 7x + -3y = -4 + -6 + 3y Combine like terms: 6 + -6 = 0 0 + 7x + -3y = -4 + -6 + 3y 7x + -3y = -4 + -6 + 3y Combine like terms: -4 + -6 = -10 7x + -3y = -10 + 3y Add '3y' to each side of the equation. 7x + -3y + 3y = -10 + 3y + 3y Combine like terms: -3y + 3y = 0 7x + 0 = -10 + 3y + 3y 7x = -10 + 3y + 3y Combine like terms: 3y + 3y = 6y 7x = -10 + 6y Divide each side by '7'. x = -1.428571429 + 0.8571428571y Simplifying x = -1.428571429 + 0.8571428571y
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