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Simplifying -122 + 6x = 102 + -2x Solving -122 + 6x = 102 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -122 + 6x + 2x = 102 + -2x + 2x Combine like terms: 6x + 2x = 8x -122 + 8x = 102 + -2x + 2x Combine like terms: -2x + 2x = 0 -122 + 8x = 102 + 0 -122 + 8x = 102 Add '122' to each side of the equation. -122 + 122 + 8x = 102 + 122 Combine like terms: -122 + 122 = 0 0 + 8x = 102 + 122 8x = 102 + 122 Combine like terms: 102 + 122 = 224 8x = 224 Divide each side by '8'. x = 28 Simplifying x = 28
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