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Simplifying 3y + 6x = 4x + -2y + 8 Reorder the terms: 6x + 3y = 4x + -2y + 8 Reorder the terms: 6x + 3y = 8 + 4x + -2y Solving 6x + 3y = 8 + 4x + -2y 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 + 3y = 8 + 4x + -4x + -2y Combine like terms: 6x + -4x = 2x 2x + 3y = 8 + 4x + -4x + -2y Combine like terms: 4x + -4x = 0 2x + 3y = 8 + 0 + -2y 2x + 3y = 8 + -2y Add '-3y' to each side of the equation. 2x + 3y + -3y = 8 + -2y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 8 + -2y + -3y 2x = 8 + -2y + -3y Combine like terms: -2y + -3y = -5y 2x = 8 + -5y Divide each side by '2'. x = 4 + -2.5y Simplifying x = 4 + -2.5y
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