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Simplifying 6(-3x + 4) = -84 Reorder the terms: 6(4 + -3x) = -84 (4 * 6 + -3x * 6) = -84 (24 + -18x) = -84 Solving 24 + -18x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -18x = -84 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -84 + -24 -18x = -84 + -24 Combine like terms: -84 + -24 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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