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Simplifying 4(8 + -6x) = -122 (8 * 4 + -6x * 4) = -122 (32 + -24x) = -122 Solving 32 + -24x = -122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -24x = -122 + -32 Combine like terms: 32 + -32 = 0 0 + -24x = -122 + -32 -24x = -122 + -32 Combine like terms: -122 + -32 = -154 -24x = -154 Divide each side by '-24'. x = 6.416666667 Simplifying x = 6.416666667
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