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Simplifying -122 = 6x + -7(5x + -24) Reorder the terms: -122 = 6x + -7(-24 + 5x) -122 = 6x + (-24 * -7 + 5x * -7) -122 = 6x + (168 + -35x) Reorder the terms: -122 = 168 + 6x + -35x Combine like terms: 6x + -35x = -29x -122 = 168 + -29x Solving -122 = 168 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -122 + 29x = 168 + -29x + 29x Combine like terms: -29x + 29x = 0 -122 + 29x = 168 + 0 -122 + 29x = 168 Add '122' to each side of the equation. -122 + 122 + 29x = 168 + 122 Combine like terms: -122 + 122 = 0 0 + 29x = 168 + 122 29x = 168 + 122 Combine like terms: 168 + 122 = 290 29x = 290 Divide each side by '29'. x = 10 Simplifying x = 10
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