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