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Simplifying 3x + 34 = x + -10 + 13x Reorder the terms: 34 + 3x = x + -10 + 13x Reorder the terms: 34 + 3x = -10 + x + 13x Combine like terms: x + 13x = 14x 34 + 3x = -10 + 14x Solving 34 + 3x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + 3x + -14x = -10 + 14x + -14x Combine like terms: 3x + -14x = -11x 34 + -11x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -11x = -10 + 0 34 + -11x = -10 Add '-34' to each side of the equation. 34 + -34 + -11x = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = -10 + -34 -11x = -10 + -34 Combine like terms: -10 + -34 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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