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