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Simplifying -2x + -52 = -8x + 122 Reorder the terms: -52 + -2x = -8x + 122 Reorder the terms: -52 + -2x = 122 + -8x Solving -52 + -2x = 122 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -52 + -2x + 8x = 122 + -8x + 8x Combine like terms: -2x + 8x = 6x -52 + 6x = 122 + -8x + 8x Combine like terms: -8x + 8x = 0 -52 + 6x = 122 + 0 -52 + 6x = 122 Add '52' to each side of the equation. -52 + 52 + 6x = 122 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = 122 + 52 6x = 122 + 52 Combine like terms: 122 + 52 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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