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Simplifying 4x + 3y = 6x + 2y Solving 4x + 3y = 6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x + 3y = 6x + -6x + 2y Combine like terms: 4x + -6x = -2x -2x + 3y = 6x + -6x + 2y Combine like terms: 6x + -6x = 0 -2x + 3y = 0 + 2y -2x + 3y = 2y Add '-3y' to each side of the equation. -2x + 3y + -3y = 2y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 2y + -3y -2x = 2y + -3y Combine like terms: 2y + -3y = -1y -2x = -1y Divide each side by '-2'. x = 0.5y Simplifying x = 0.5y
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