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Simplifying -46 + -2x = 6x + 106 Reorder the terms: -46 + -2x = 106 + 6x Solving -46 + -2x = 106 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + -2x + -6x = 106 + 6x + -6x Combine like terms: -2x + -6x = -8x -46 + -8x = 106 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + -8x = 106 + 0 -46 + -8x = 106 Add '46' to each side of the equation. -46 + 46 + -8x = 106 + 46 Combine like terms: -46 + 46 = 0 0 + -8x = 106 + 46 -8x = 106 + 46 Combine like terms: 106 + 46 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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