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Simplifying x + -5 + -8(x + -4) + 4(5x + 1) = 0 Reorder the terms: x + -5 + -8(-4 + x) + 4(5x + 1) = 0 x + -5 + (-4 * -8 + x * -8) + 4(5x + 1) = 0 x + -5 + (32 + -8x) + 4(5x + 1) = 0 Reorder the terms: x + -5 + 32 + -8x + 4(1 + 5x) = 0 x + -5 + 32 + -8x + (1 * 4 + 5x * 4) = 0 x + -5 + 32 + -8x + (4 + 20x) = 0 Reorder the terms: -5 + 32 + 4 + x + -8x + 20x = 0 Combine like terms: -5 + 32 = 27 27 + 4 + x + -8x + 20x = 0 Combine like terms: 27 + 4 = 31 31 + x + -8x + 20x = 0 Combine like terms: x + -8x = -7x 31 + -7x + 20x = 0 Combine like terms: -7x + 20x = 13x 31 + 13x = 0 Solving 31 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 13x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = 0 + -31 13x = 0 + -31 Combine like terms: 0 + -31 = -31 13x = -31 Divide each side by '13'. x = -2.384615385 Simplifying x = -2.384615385
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