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Simplifying 8(3x + -2y) + 4(-3x + 4y) = 0 (3x * 8 + -2y * 8) + 4(-3x + 4y) = 0 (24x + -16y) + 4(-3x + 4y) = 0 24x + -16y + (-3x * 4 + 4y * 4) = 0 24x + -16y + (-12x + 16y) = 0 Reorder the terms: 24x + -12x + -16y + 16y = 0 Combine like terms: 24x + -12x = 12x 12x + -16y + 16y = 0 Combine like terms: -16y + 16y = 0 12x + 0 = 0 12x = 0 Solving 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 0 Simplifying x = 0
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