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Simplifying x + 8 = -7(5 + 6x) Reorder the terms: 8 + x = -7(5 + 6x) 8 + x = (5 * -7 + 6x * -7) 8 + x = (-35 + -42x) Solving 8 + x = -35 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 8 + x + 42x = -35 + -42x + 42x Combine like terms: x + 42x = 43x 8 + 43x = -35 + -42x + 42x Combine like terms: -42x + 42x = 0 8 + 43x = -35 + 0 8 + 43x = -35 Add '-8' to each side of the equation. 8 + -8 + 43x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + 43x = -35 + -8 43x = -35 + -8 Combine like terms: -35 + -8 = -43 43x = -43 Divide each side by '43'. x = -1 Simplifying x = -1
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