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Simplifying 3x + -74 = 76 + -2x Reorder the terms: -74 + 3x = 76 + -2x Solving -74 + 3x = 76 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -74 + 3x + 2x = 76 + -2x + 2x Combine like terms: 3x + 2x = 5x -74 + 5x = 76 + -2x + 2x Combine like terms: -2x + 2x = 0 -74 + 5x = 76 + 0 -74 + 5x = 76 Add '74' to each side of the equation. -74 + 74 + 5x = 76 + 74 Combine like terms: -74 + 74 = 0 0 + 5x = 76 + 74 5x = 76 + 74 Combine like terms: 76 + 74 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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