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Simplifying (6x + 2y + -8x) + -1(2y + 3x) = 0 Reorder the terms: (6x + -8x + 2y) + -1(2y + 3x) = 0 Combine like terms: 6x + -8x = -2x (-2x + 2y) + -1(2y + 3x) = 0 Remove parenthesis around (-2x + 2y) -2x + 2y + -1(2y + 3x) = 0 Reorder the terms: -2x + 2y + -1(3x + 2y) = 0 -2x + 2y + (3x * -1 + 2y * -1) = 0 -2x + 2y + (-3x + -2y) = 0 Reorder the terms: -2x + -3x + 2y + -2y = 0 Combine like terms: -2x + -3x = -5x -5x + 2y + -2y = 0 Combine like terms: 2y + -2y = 0 -5x + 0 = 0 -5x = 0 Solving -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-5'. x = 0 Simplifying x = 0
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