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Simplifying 4(8x + -6) = -24 + -6x Reorder the terms: 4(-6 + 8x) = -24 + -6x (-6 * 4 + 8x * 4) = -24 + -6x (-24 + 32x) = -24 + -6x Add '24' to each side of the equation. -24 + 24 + 32x = -24 + 24 + -6x Combine like terms: -24 + 24 = 0 0 + 32x = -24 + 24 + -6x 32x = -24 + 24 + -6x Combine like terms: -24 + 24 = 0 32x = 0 + -6x 32x = -6x Solving 32x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32x + 6x = -6x + 6x Combine like terms: 32x + 6x = 38x 38x = -6x + 6x Combine like terms: -6x + 6x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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