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Simplifying 3x + 6y = y + x + 10 Reorder the terms: 3x + 6y = 10 + x + y Solving 3x + 6y = 10 + x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + 6y = 10 + x + -1x + y Combine like terms: 3x + -1x = 2x 2x + 6y = 10 + x + -1x + y Combine like terms: x + -1x = 0 2x + 6y = 10 + 0 + y 2x + 6y = 10 + y Add '-6y' to each side of the equation. 2x + 6y + -6y = 10 + y + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 10 + y + -6y 2x = 10 + y + -6y Combine like terms: y + -6y = -5y 2x = 10 + -5y Divide each side by '2'. x = 5 + -2.5y Simplifying x = 5 + -2.5y
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