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Simplifying 34 + 5x = -1(2x + 8) Reorder the terms: 34 + 5x = -1(8 + 2x) 34 + 5x = (8 * -1 + 2x * -1) 34 + 5x = (-8 + -2x) Solving 34 + 5x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 5x + 2x = -8 + -2x + 2x Combine like terms: 5x + 2x = 7x 34 + 7x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + 7x = -8 + 0 34 + 7x = -8 Add '-34' to each side of the equation. 34 + -34 + 7x = -8 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = -8 + -34 7x = -8 + -34 Combine like terms: -8 + -34 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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