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Simplifying 8x + 34 = -5(x + 1) Reorder the terms: 34 + 8x = -5(x + 1) Reorder the terms: 34 + 8x = -5(1 + x) 34 + 8x = (1 * -5 + x * -5) 34 + 8x = (-5 + -5x) Solving 34 + 8x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 34 + 8x + 5x = -5 + -5x + 5x Combine like terms: 8x + 5x = 13x 34 + 13x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 34 + 13x = -5 + 0 34 + 13x = -5 Add '-34' to each side of the equation. 34 + -34 + 13x = -5 + -34 Combine like terms: 34 + -34 = 0 0 + 13x = -5 + -34 13x = -5 + -34 Combine like terms: -5 + -34 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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