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Simplifying 5(1 + x) = -8(7x + 7) (1 * 5 + x * 5) = -8(7x + 7) (5 + 5x) = -8(7x + 7) Reorder the terms: 5 + 5x = -8(7 + 7x) 5 + 5x = (7 * -8 + 7x * -8) 5 + 5x = (-56 + -56x) Solving 5 + 5x = -56 + -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. 5 + 5x + 56x = -56 + -56x + 56x Combine like terms: 5x + 56x = 61x 5 + 61x = -56 + -56x + 56x Combine like terms: -56x + 56x = 0 5 + 61x = -56 + 0 5 + 61x = -56 Add '-5' to each side of the equation. 5 + -5 + 61x = -56 + -5 Combine like terms: 5 + -5 = 0 0 + 61x = -56 + -5 61x = -56 + -5 Combine like terms: -56 + -5 = -61 61x = -61 Divide each side by '61'. x = -1 Simplifying x = -1
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