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Simplifying 3(2x + -4y) + -2(2x + -5y) + 2y = 0 (2x * 3 + -4y * 3) + -2(2x + -5y) + 2y = 0 (6x + -12y) + -2(2x + -5y) + 2y = 0 6x + -12y + (2x * -2 + -5y * -2) + 2y = 0 6x + -12y + (-4x + 10y) + 2y = 0 Reorder the terms: 6x + -4x + -12y + 10y + 2y = 0 Combine like terms: 6x + -4x = 2x 2x + -12y + 10y + 2y = 0 Combine like terms: -12y + 10y = -2y 2x + -2y + 2y = 0 Combine like terms: -2y + 2y = 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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