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Simplifying 2x + 3y + 3 = 5x + -1y + 2 Reorder the terms: 3 + 2x + 3y = 5x + -1y + 2 Reorder the terms: 3 + 2x + 3y = 2 + 5x + -1y Solving 3 + 2x + 3y = 2 + 5x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x + 3y = 2 + 5x + -5x + -1y Combine like terms: 2x + -5x = -3x 3 + -3x + 3y = 2 + 5x + -5x + -1y Combine like terms: 5x + -5x = 0 3 + -3x + 3y = 2 + 0 + -1y 3 + -3x + 3y = 2 + -1y Add '-3' to each side of the equation. 3 + -3x + -3 + 3y = 2 + -3 + -1y Reorder the terms: 3 + -3 + -3x + 3y = 2 + -3 + -1y Combine like terms: 3 + -3 = 0 0 + -3x + 3y = 2 + -3 + -1y -3x + 3y = 2 + -3 + -1y Combine like terms: 2 + -3 = -1 -3x + 3y = -1 + -1y Add '-3y' to each side of the equation. -3x + 3y + -3y = -1 + -1y + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = -1 + -1y + -3y -3x = -1 + -1y + -3y Combine like terms: -1y + -3y = -4y -3x = -1 + -4y Divide each side by '-3'. x = 0.3333333333 + 1.333333333y Simplifying x = 0.3333333333 + 1.333333333y
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