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Simplifying 24 + -4x = 6(-2x + -1) + 6 Reorder the terms: 24 + -4x = 6(-1 + -2x) + 6 24 + -4x = (-1 * 6 + -2x * 6) + 6 24 + -4x = (-6 + -12x) + 6 Reorder the terms: 24 + -4x = -6 + 6 + -12x Combine like terms: -6 + 6 = 0 24 + -4x = 0 + -12x 24 + -4x = -12x Solving 24 + -4x = -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. 24 + -4x + 12x = -12x + 12x Combine like terms: -4x + 12x = 8x 24 + 8x = -12x + 12x Combine like terms: -12x + 12x = 0 24 + 8x = 0 Add '-24' to each side of the equation. 24 + -24 + 8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 0 + -24 8x = 0 + -24 Combine like terms: 0 + -24 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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