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Simplifying x + -5 + -4(x + -1) + 2(4x + 1) = 0 Reorder the terms: x + -5 + -4(-1 + x) + 2(4x + 1) = 0 x + -5 + (-1 * -4 + x * -4) + 2(4x + 1) = 0 x + -5 + (4 + -4x) + 2(4x + 1) = 0 Reorder the terms: x + -5 + 4 + -4x + 2(1 + 4x) = 0 x + -5 + 4 + -4x + (1 * 2 + 4x * 2) = 0 x + -5 + 4 + -4x + (2 + 8x) = 0 Reorder the terms: -5 + 4 + 2 + x + -4x + 8x = 0 Combine like terms: -5 + 4 = -1 -1 + 2 + x + -4x + 8x = 0 Combine like terms: -1 + 2 = 1 1 + x + -4x + 8x = 0 Combine like terms: x + -4x = -3x 1 + -3x + 8x = 0 Combine like terms: -3x + 8x = 5x 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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