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Simplifying 3x + 2y + -5 = x + -3y + 2 Reorder the terms: -5 + 3x + 2y = x + -3y + 2 Reorder the terms: -5 + 3x + 2y = 2 + x + -3y Solving -5 + 3x + 2y = 2 + x + -3y 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. -5 + 3x + -1x + 2y = 2 + x + -1x + -3y Combine like terms: 3x + -1x = 2x -5 + 2x + 2y = 2 + x + -1x + -3y Combine like terms: x + -1x = 0 -5 + 2x + 2y = 2 + 0 + -3y -5 + 2x + 2y = 2 + -3y Add '5' to each side of the equation. -5 + 2x + 5 + 2y = 2 + 5 + -3y Reorder the terms: -5 + 5 + 2x + 2y = 2 + 5 + -3y Combine like terms: -5 + 5 = 0 0 + 2x + 2y = 2 + 5 + -3y 2x + 2y = 2 + 5 + -3y Combine like terms: 2 + 5 = 7 2x + 2y = 7 + -3y Add '-2y' to each side of the equation. 2x + 2y + -2y = 7 + -3y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 7 + -3y + -2y 2x = 7 + -3y + -2y Combine like terms: -3y + -2y = -5y 2x = 7 + -5y Divide each side by '2'. x = 3.5 + -2.5y Simplifying x = 3.5 + -2.5y
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