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Simplifying -10x + -122 = -4x + 52 Reorder the terms: -122 + -10x = -4x + 52 Reorder the terms: -122 + -10x = 52 + -4x Solving -122 + -10x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -122 + -10x + 4x = 52 + -4x + 4x Combine like terms: -10x + 4x = -6x -122 + -6x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 -122 + -6x = 52 + 0 -122 + -6x = 52 Add '122' to each side of the equation. -122 + 122 + -6x = 52 + 122 Combine like terms: -122 + 122 = 0 0 + -6x = 52 + 122 -6x = 52 + 122 Combine like terms: 52 + 122 = 174 -6x = 174 Divide each side by '-6'. x = -29 Simplifying x = -29
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