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Simplifying -8x + -1(3 + -2x) + -2(4x + 1) + -4(-2x + -4) = 0 -8x + (3 * -1 + -2x * -1) + -2(4x + 1) + -4(-2x + -4) = 0 -8x + (-3 + 2x) + -2(4x + 1) + -4(-2x + -4) = 0 Reorder the terms: -8x + -3 + 2x + -2(1 + 4x) + -4(-2x + -4) = 0 -8x + -3 + 2x + (1 * -2 + 4x * -2) + -4(-2x + -4) = 0 -8x + -3 + 2x + (-2 + -8x) + -4(-2x + -4) = 0 Reorder the terms: -8x + -3 + 2x + -2 + -8x + -4(-4 + -2x) = 0 -8x + -3 + 2x + -2 + -8x + (-4 * -4 + -2x * -4) = 0 -8x + -3 + 2x + -2 + -8x + (16 + 8x) = 0 Reorder the terms: -3 + -2 + 16 + -8x + 2x + -8x + 8x = 0 Combine like terms: -3 + -2 = -5 -5 + 16 + -8x + 2x + -8x + 8x = 0 Combine like terms: -5 + 16 = 11 11 + -8x + 2x + -8x + 8x = 0 Combine like terms: -8x + 2x = -6x 11 + -6x + -8x + 8x = 0 Combine like terms: -6x + -8x = -14x 11 + -14x + 8x = 0 Combine like terms: -14x + 8x = -6x 11 + -6x = 0 Solving 11 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333
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