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Simplifying 6x + 2y = 4x + 3y Solving 6x + 2y = 4x + 3y 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. 6x + -4x + 2y = 4x + -4x + 3y Combine like terms: 6x + -4x = 2x 2x + 2y = 4x + -4x + 3y Combine like terms: 4x + -4x = 0 2x + 2y = 0 + 3y 2x + 2y = 3y Add '-2y' to each side of the equation. 2x + 2y + -2y = 3y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 3y + -2y 2x = 3y + -2y Combine like terms: 3y + -2y = 1y 2x = 1y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y
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