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Simplifying -2x + -74 = 8x + 46 Reorder the terms: -74 + -2x = 8x + 46 Reorder the terms: -74 + -2x = 46 + 8x Solving -74 + -2x = 46 + 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. -74 + -2x + -8x = 46 + 8x + -8x Combine like terms: -2x + -8x = -10x -74 + -10x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -74 + -10x = 46 + 0 -74 + -10x = 46 Add '74' to each side of the equation. -74 + 74 + -10x = 46 + 74 Combine like terms: -74 + 74 = 0 0 + -10x = 46 + 74 -10x = 46 + 74 Combine like terms: 46 + 74 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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