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Simplifying x + y + -4 = 2x + 3y + -11 Reorder the terms: -4 + x + y = 2x + 3y + -11 Reorder the terms: -4 + x + y = -11 + 2x + 3y Solving -4 + x + 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. -4 + x + -2x + y = -11 + 2x + -2x + 3y Combine like terms: x + -2x = -1x -4 + -1x + y = -11 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 -4 + -1x + y = -11 + 0 + 3y -4 + -1x + y = -11 + 3y Add '4' to each side of the equation. -4 + -1x + 4 + y = -11 + 4 + 3y Reorder the terms: -4 + 4 + -1x + y = -11 + 4 + 3y Combine like terms: -4 + 4 = 0 0 + -1x + y = -11 + 4 + 3y -1x + y = -11 + 4 + 3y Combine like terms: -11 + 4 = -7 -1x + y = -7 + 3y Add '-1y' to each side of the equation. -1x + y + -1y = -7 + 3y + -1y Combine like terms: y + -1y = 0 -1x + 0 = -7 + 3y + -1y -1x = -7 + 3y + -1y Combine like terms: 3y + -1y = 2y -1x = -7 + 2y Divide each side by '-1'. x = 7 + -2y Simplifying x = 7 + -2y
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