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