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Simplifying 6y + 3x = 4y + -2x + 8 Reorder the terms: 3x + 6y = 4y + -2x + 8 Reorder the terms: 3x + 6y = 8 + -2x + 4y Solving 3x + 6y = 8 + -2x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3x + 2x + 6y = 8 + -2x + 2x + 4y Combine like terms: 3x + 2x = 5x 5x + 6y = 8 + -2x + 2x + 4y Combine like terms: -2x + 2x = 0 5x + 6y = 8 + 0 + 4y 5x + 6y = 8 + 4y Add '-6y' to each side of the equation. 5x + 6y + -6y = 8 + 4y + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 8 + 4y + -6y 5x = 8 + 4y + -6y Combine like terms: 4y + -6y = -2y 5x = 8 + -2y Divide each side by '5'. x = 1.6 + -0.4y Simplifying x = 1.6 + -0.4y
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