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Simplifying 413 = -7(5 + -8x) 413 = (5 * -7 + -8x * -7) 413 = (-35 + 56x) Solving 413 = -35 + 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. 413 + -56x = -35 + 56x + -56x Combine like terms: 56x + -56x = 0 413 + -56x = -35 + 0 413 + -56x = -35 Add '-413' to each side of the equation. 413 + -413 + -56x = -35 + -413 Combine like terms: 413 + -413 = 0 0 + -56x = -35 + -413 -56x = -35 + -413 Combine like terms: -35 + -413 = -448 -56x = -448 Divide each side by '-56'. x = 8 Simplifying x = 8
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