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Simplifying 74 + -2x = -46 + 6x Solving 74 + -2x = -46 + 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. 74 + -2x + -6x = -46 + 6x + -6x Combine like terms: -2x + -6x = -8x 74 + -8x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 74 + -8x = -46 + 0 74 + -8x = -46 Add '-74' to each side of the equation. 74 + -74 + -8x = -46 + -74 Combine like terms: 74 + -74 = 0 0 + -8x = -46 + -74 -8x = -46 + -74 Combine like terms: -46 + -74 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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