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Simplifying 4(8x + 1) + 8(12 + -1x) = 0 Reorder the terms: 4(1 + 8x) + 8(12 + -1x) = 0 (1 * 4 + 8x * 4) + 8(12 + -1x) = 0 (4 + 32x) + 8(12 + -1x) = 0 4 + 32x + (12 * 8 + -1x * 8) = 0 4 + 32x + (96 + -8x) = 0 Reorder the terms: 4 + 96 + 32x + -8x = 0 Combine like terms: 4 + 96 = 100 100 + 32x + -8x = 0 Combine like terms: 32x + -8x = 24x 100 + 24x = 0 Solving 100 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 24x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 24x = 0 + -100 24x = 0 + -100 Combine like terms: 0 + -100 = -100 24x = -100 Divide each side by '24'. x = -4.166666667 Simplifying x = -4.166666667
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