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Simplifying 4(5x + 6) + 2(8 + -1x) = 0 Reorder the terms: 4(6 + 5x) + 2(8 + -1x) = 0 (6 * 4 + 5x * 4) + 2(8 + -1x) = 0 (24 + 20x) + 2(8 + -1x) = 0 24 + 20x + (8 * 2 + -1x * 2) = 0 24 + 20x + (16 + -2x) = 0 Reorder the terms: 24 + 16 + 20x + -2x = 0 Combine like terms: 24 + 16 = 40 40 + 20x + -2x = 0 Combine like terms: 20x + -2x = 18x 40 + 18x = 0 Solving 40 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 18x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 18x = 0 + -40 18x = 0 + -40 Combine like terms: 0 + -40 = -40 18x = -40 Divide each side by '18'. x = -2.222222222 Simplifying x = -2.222222222
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