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Simplifying -3x + -74 = 46 + -7x Reorder the terms: -74 + -3x = 46 + -7x Solving -74 + -3x = 46 + -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 + -3x + 7x = 46 + -7x + 7x Combine like terms: -3x + 7x = 4x -74 + 4x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 -74 + 4x = 46 + 0 -74 + 4x = 46 Add '74' to each side of the equation. -74 + 74 + 4x = 46 + 74 Combine like terms: -74 + 74 = 0 0 + 4x = 46 + 74 4x = 46 + 74 Combine like terms: 46 + 74 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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