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Simplifying 6x + -2y = 3x + y + 33 Reorder the terms: 6x + -2y = 33 + 3x + y Solving 6x + -2y = 33 + 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x + -2y = 33 + 3x + -3x + y Combine like terms: 6x + -3x = 3x 3x + -2y = 33 + 3x + -3x + y Combine like terms: 3x + -3x = 0 3x + -2y = 33 + 0 + y 3x + -2y = 33 + y Add '2y' to each side of the equation. 3x + -2y + 2y = 33 + y + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 33 + y + 2y 3x = 33 + y + 2y Combine like terms: y + 2y = 3y 3x = 33 + 3y Divide each side by '3'. x = 11 + y Simplifying x = 11 + y
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