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Simplifying 3x + 34 = 21x + -74 Reorder the terms: 34 + 3x = 21x + -74 Reorder the terms: 34 + 3x = -74 + 21x Solving 34 + 3x = -74 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 34 + 3x + -21x = -74 + 21x + -21x Combine like terms: 3x + -21x = -18x 34 + -18x = -74 + 21x + -21x Combine like terms: 21x + -21x = 0 34 + -18x = -74 + 0 34 + -18x = -74 Add '-34' to each side of the equation. 34 + -34 + -18x = -74 + -34 Combine like terms: 34 + -34 = 0 0 + -18x = -74 + -34 -18x = -74 + -34 Combine like terms: -74 + -34 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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