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Simplifying 2x + 3 + -2y = 4 + 6y Reorder the terms: 3 + 2x + -2y = 4 + 6y Solving 3 + 2x + -2y = 4 + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x + -3 + -2y = 4 + -3 + 6y Reorder the terms: 3 + -3 + 2x + -2y = 4 + -3 + 6y Combine like terms: 3 + -3 = 0 0 + 2x + -2y = 4 + -3 + 6y 2x + -2y = 4 + -3 + 6y Combine like terms: 4 + -3 = 1 2x + -2y = 1 + 6y Add '2y' to each side of the equation. 2x + -2y + 2y = 1 + 6y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 1 + 6y + 2y 2x = 1 + 6y + 2y Combine like terms: 6y + 2y = 8y 2x = 1 + 8y Divide each side by '2'. x = 0.5 + 4y Simplifying x = 0.5 + 4y
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