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Simplifying -6x + -7(-15 + -7x) = -24 -6x + (-15 * -7 + -7x * -7) = -24 -6x + (105 + 49x) = -24 Reorder the terms: 105 + -6x + 49x = -24 Combine like terms: -6x + 49x = 43x 105 + 43x = -24 Solving 105 + 43x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 43x = -24 + -105 Combine like terms: 105 + -105 = 0 0 + 43x = -24 + -105 43x = -24 + -105 Combine like terms: -24 + -105 = -129 43x = -129 Divide each side by '43'. x = -3 Simplifying x = -3
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