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Simplifying -74 + -12x = 31 + -7x Solving -74 + -12x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -74 + -12x + 7x = 31 + -7x + 7x Combine like terms: -12x + 7x = -5x -74 + -5x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -74 + -5x = 31 + 0 -74 + -5x = 31 Add '74' to each side of the equation. -74 + 74 + -5x = 31 + 74 Combine like terms: -74 + 74 = 0 0 + -5x = 31 + 74 -5x = 31 + 74 Combine like terms: 31 + 74 = 105 -5x = 105 Divide each side by '-5'. x = -21 Simplifying x = -21
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