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Simplifying -2x + 3y = 4x + 9 Reorder the terms: -2x + 3y = 9 + 4x Solving -2x + 3y = 9 + 4x 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 = 9 + 4x + -4x Combine like terms: -2x + -4x = -6x -6x + 3y = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6x + 3y = 9 + 0 -6x + 3y = 9 Add '-3y' to each side of the equation. -6x + 3y + -3y = 9 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 9 + -3y -6x = 9 + -3y Divide each side by '-6'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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