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Simplifying 34 = x + 5(-6x + 1) Reorder the terms: 34 = x + 5(1 + -6x) 34 = x + (1 * 5 + -6x * 5) 34 = x + (5 + -30x) Reorder the terms: 34 = 5 + x + -30x Combine like terms: x + -30x = -29x 34 = 5 + -29x Solving 34 = 5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 34 + 29x = 5 + -29x + 29x Combine like terms: -29x + 29x = 0 34 + 29x = 5 + 0 34 + 29x = 5 Add '-34' to each side of the equation. 34 + -34 + 29x = 5 + -34 Combine like terms: 34 + -34 = 0 0 + 29x = 5 + -34 29x = 5 + -34 Combine like terms: 5 + -34 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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