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Simplifying 8(3x + -2y) + 4[(13x) + 4y] = 0 (3x * 8 + -2y * 8) + 4[(13x) + 4y] = 0 (24x + -16y) + 4[(13x) + 4y] = 0 24x + -16y + [(13x) * 4 + 4y * 4] = 0 24x + -16y + [52x + 16y] = 0 Reorder the terms: 24x + 52x + -16y + 16y = 0 Combine like terms: 24x + 52x = 76x 76x + -16y + 16y = 0 Combine like terms: -16y + 16y = 0 76x + 0 = 0 76x = 0 Solving 76x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '76'. x = 0 Simplifying x = 0
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