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Simplifying 4x + 34 = 13x + -74 Reorder the terms: 34 + 4x = 13x + -74 Reorder the terms: 34 + 4x = -74 + 13x Solving 34 + 4x = -74 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 34 + 4x + -13x = -74 + 13x + -13x Combine like terms: 4x + -13x = -9x 34 + -9x = -74 + 13x + -13x Combine like terms: 13x + -13x = 0 34 + -9x = -74 + 0 34 + -9x = -74 Add '-34' to each side of the equation. 34 + -34 + -9x = -74 + -34 Combine like terms: 34 + -34 = 0 0 + -9x = -74 + -34 -9x = -74 + -34 Combine like terms: -74 + -34 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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