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Simplifying -406 = -8(1 + -7x) + -6 -406 = (1 * -8 + -7x * -8) + -6 -406 = (-8 + 56x) + -6 Reorder the terms: -406 = -8 + -6 + 56x Combine like terms: -8 + -6 = -14 -406 = -14 + 56x Solving -406 = -14 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -406 + -56x = -14 + 56x + -56x Combine like terms: 56x + -56x = 0 -406 + -56x = -14 + 0 -406 + -56x = -14 Add '406' to each side of the equation. -406 + 406 + -56x = -14 + 406 Combine like terms: -406 + 406 = 0 0 + -56x = -14 + 406 -56x = -14 + 406 Combine like terms: -14 + 406 = 392 -56x = 392 Divide each side by '-56'. x = -7 Simplifying x = -7
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