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Simplifying 2x + -3y = 5x + -6 Reorder the terms: 2x + -3y = -6 + 5x Solving 2x + -3y = -6 + 5x 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. 2x + -5x + -3y = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x + -3y = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x + -3y = -6 + 0 -3x + -3y = -6 Add '3y' to each side of the equation. -3x + -3y + 3y = -6 + 3y Combine like terms: -3y + 3y = 0 -3x + 0 = -6 + 3y -3x = -6 + 3y Divide each side by '-3'. x = 2 + -1y Simplifying x = 2 + -1y
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