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Simplifying x + y + 2 = 3y + -4 + -3x Reorder the terms: 2 + x + y = 3y + -4 + -3x Reorder the terms: 2 + x + y = -4 + -3x + 3y Solving 2 + x + y = -4 + -3x + 3y 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. 2 + x + 3x + y = -4 + -3x + 3x + 3y Combine like terms: x + 3x = 4x 2 + 4x + y = -4 + -3x + 3x + 3y Combine like terms: -3x + 3x = 0 2 + 4x + y = -4 + 0 + 3y 2 + 4x + y = -4 + 3y Add '-2' to each side of the equation. 2 + 4x + -2 + y = -4 + -2 + 3y Reorder the terms: 2 + -2 + 4x + y = -4 + -2 + 3y Combine like terms: 2 + -2 = 0 0 + 4x + y = -4 + -2 + 3y 4x + y = -4 + -2 + 3y Combine like terms: -4 + -2 = -6 4x + y = -6 + 3y Add '-1y' to each side of the equation. 4x + y + -1y = -6 + 3y + -1y Combine like terms: y + -1y = 0 4x + 0 = -6 + 3y + -1y 4x = -6 + 3y + -1y Combine like terms: 3y + -1y = 2y 4x = -6 + 2y Divide each side by '4'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y
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