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Simplifying -6 + -4(5x + -2) = -3(8 + -4x) + 2 Reorder the terms: -6 + -4(-2 + 5x) = -3(8 + -4x) + 2 -6 + (-2 * -4 + 5x * -4) = -3(8 + -4x) + 2 -6 + (8 + -20x) = -3(8 + -4x) + 2 Combine like terms: -6 + 8 = 2 2 + -20x = -3(8 + -4x) + 2 2 + -20x = (8 * -3 + -4x * -3) + 2 2 + -20x = (-24 + 12x) + 2 Reorder the terms: 2 + -20x = -24 + 2 + 12x Combine like terms: -24 + 2 = -22 2 + -20x = -22 + 12x Solving 2 + -20x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + -20x + -12x = -22 + 12x + -12x Combine like terms: -20x + -12x = -32x 2 + -32x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -32x = -22 + 0 2 + -32x = -22 Add '-2' to each side of the equation. 2 + -2 + -32x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -32x = -22 + -2 -32x = -22 + -2 Combine like terms: -22 + -2 = -24 -32x = -24 Divide each side by '-32'. x = 0.75 Simplifying x = 0.75
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