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Simplifying 12x + -8 = 4(x + -6) Reorder the terms: -8 + 12x = 4(x + -6) Reorder the terms: -8 + 12x = 4(-6 + x) -8 + 12x = (-6 * 4 + x * 4) -8 + 12x = (-24 + 4x) Solving -8 + 12x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 12x + -4x = -24 + 4x + -4x Combine like terms: 12x + -4x = 8x -8 + 8x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 8x = -24 + 0 -8 + 8x = -24 Add '8' to each side of the equation. -8 + 8 + 8x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -24 + 8 8x = -24 + 8 Combine like terms: -24 + 8 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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