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Simplifying -6(4x + -5) = -2 + -8x Reorder the terms: -6(-5 + 4x) = -2 + -8x (-5 * -6 + 4x * -6) = -2 + -8x (30 + -24x) = -2 + -8x Solving 30 + -24x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + -24x + 8x = -2 + -8x + 8x Combine like terms: -24x + 8x = -16x 30 + -16x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + -16x = -2 + 0 30 + -16x = -2 Add '-30' to each side of the equation. 30 + -30 + -16x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = -2 + -30 -16x = -2 + -30 Combine like terms: -2 + -30 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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