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Simplifying x + -6 + -5(x + -1) + 2(4x + 1) = 0 Reorder the terms: x + -6 + -5(-1 + x) + 2(4x + 1) = 0 x + -6 + (-1 * -5 + x * -5) + 2(4x + 1) = 0 x + -6 + (5 + -5x) + 2(4x + 1) = 0 Reorder the terms: x + -6 + 5 + -5x + 2(1 + 4x) = 0 x + -6 + 5 + -5x + (1 * 2 + 4x * 2) = 0 x + -6 + 5 + -5x + (2 + 8x) = 0 Reorder the terms: -6 + 5 + 2 + x + -5x + 8x = 0 Combine like terms: -6 + 5 = -1 -1 + 2 + x + -5x + 8x = 0 Combine like terms: -1 + 2 = 1 1 + x + -5x + 8x = 0 Combine like terms: x + -5x = -4x 1 + -4x + 8x = 0 Combine like terms: -4x + 8x = 4x 1 + 4x = 0 Solving 1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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