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Simplifying 3x + y + -11 = 2x + -3y + 11 Reorder the terms: -11 + 3x + y = 2x + -3y + 11 Reorder the terms: -11 + 3x + y = 11 + 2x + -3y Solving -11 + 3x + y = 11 + 2x + -3y 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. -11 + 3x + -2x + y = 11 + 2x + -2x + -3y Combine like terms: 3x + -2x = 1x -11 + 1x + y = 11 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 -11 + 1x + y = 11 + 0 + -3y -11 + 1x + y = 11 + -3y Add '11' to each side of the equation. -11 + 1x + 11 + y = 11 + 11 + -3y Reorder the terms: -11 + 11 + 1x + y = 11 + 11 + -3y Combine like terms: -11 + 11 = 0 0 + 1x + y = 11 + 11 + -3y 1x + y = 11 + 11 + -3y Combine like terms: 11 + 11 = 22 1x + y = 22 + -3y Add '-1y' to each side of the equation. 1x + y + -1y = 22 + -3y + -1y Combine like terms: y + -1y = 0 1x + 0 = 22 + -3y + -1y 1x = 22 + -3y + -1y Combine like terms: -3y + -1y = -4y 1x = 22 + -4y Divide each side by '1'. x = 22 + -4y Simplifying x = 22 + -4y
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