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