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Simplifying 8[4 + -1(5 + 6x)] + -8x = -11 + 2(4 + -12x) 8[4 + (5 * -1 + 6x * -1)] + -8x = -11 + 2(4 + -12x) 8[4 + (-5 + -6x)] + -8x = -11 + 2(4 + -12x) Combine like terms: 4 + -5 = -1 8[-1 + -6x] + -8x = -11 + 2(4 + -12x) [-1 * 8 + -6x * 8] + -8x = -11 + 2(4 + -12x) [-8 + -48x] + -8x = -11 + 2(4 + -12x) Combine like terms: -48x + -8x = -56x -8 + -56x = -11 + 2(4 + -12x) -8 + -56x = -11 + (4 * 2 + -12x * 2) -8 + -56x = -11 + (8 + -24x) Combine like terms: -11 + 8 = -3 -8 + -56x = -3 + -24x Solving -8 + -56x = -3 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -8 + -56x + 24x = -3 + -24x + 24x Combine like terms: -56x + 24x = -32x -8 + -32x = -3 + -24x + 24x Combine like terms: -24x + 24x = 0 -8 + -32x = -3 + 0 -8 + -32x = -3 Add '8' to each side of the equation. -8 + 8 + -32x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -32x = -3 + 8 -32x = -3 + 8 Combine like terms: -3 + 8 = 5 -32x = 5 Divide each side by '-32'. x = -0.15625 Simplifying x = -0.15625
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