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