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Simplifying 34 + -5x = -5x + -2(-2 + 3x) 34 + -5x = -5x + (-2 * -2 + 3x * -2) 34 + -5x = -5x + (4 + -6x) Reorder the terms: 34 + -5x = 4 + -5x + -6x Combine like terms: -5x + -6x = -11x 34 + -5x = 4 + -11x Solving 34 + -5x = 4 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 34 + -5x + 11x = 4 + -11x + 11x Combine like terms: -5x + 11x = 6x 34 + 6x = 4 + -11x + 11x Combine like terms: -11x + 11x = 0 34 + 6x = 4 + 0 34 + 6x = 4 Add '-34' to each side of the equation. 34 + -34 + 6x = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 4 + -34 6x = 4 + -34 Combine like terms: 4 + -34 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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