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Simplifying 6(x + -4) = 84 + -6x Reorder the terms: 6(-4 + x) = 84 + -6x (-4 * 6 + x * 6) = 84 + -6x (-24 + 6x) = 84 + -6x Solving -24 + 6x = 84 + -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. -24 + 6x + 6x = 84 + -6x + 6x Combine like terms: 6x + 6x = 12x -24 + 12x = 84 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 12x = 84 + 0 -24 + 12x = 84 Add '24' to each side of the equation. -24 + 24 + 12x = 84 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 84 + 24 12x = 84 + 24 Combine like terms: 84 + 24 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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