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Simplifying 5(x + 4) + -1(x + 2) + 8x + 2 = 0 Reorder the terms: 5(4 + x) + -1(x + 2) + 8x + 2 = 0 (4 * 5 + x * 5) + -1(x + 2) + 8x + 2 = 0 (20 + 5x) + -1(x + 2) + 8x + 2 = 0 Reorder the terms: 20 + 5x + -1(2 + x) + 8x + 2 = 0 20 + 5x + (2 * -1 + x * -1) + 8x + 2 = 0 20 + 5x + (-2 + -1x) + 8x + 2 = 0 Reorder the terms: 20 + -2 + 2 + 5x + -1x + 8x = 0 Combine like terms: 20 + -2 = 18 18 + 2 + 5x + -1x + 8x = 0 Combine like terms: 18 + 2 = 20 20 + 5x + -1x + 8x = 0 Combine like terms: 5x + -1x = 4x 20 + 4x + 8x = 0 Combine like terms: 4x + 8x = 12x 20 + 12x = 0 Solving 20 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 0 + -20 12x = 0 + -20 Combine like terms: 0 + -20 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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