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Simplifying 7(8 + x) = 1(10 + x) (8 * 7 + x * 7) = 1(10 + x) (56 + 7x) = 1(10 + x) 56 + 7x = (10 * 1 + x * 1) 56 + 7x = (10 + 1x) Solving 56 + 7x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 56 + 7x + -1x = 10 + 1x + -1x Combine like terms: 7x + -1x = 6x 56 + 6x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 56 + 6x = 10 + 0 56 + 6x = 10 Add '-56' to each side of the equation. 56 + -56 + 6x = 10 + -56 Combine like terms: 56 + -56 = 0 0 + 6x = 10 + -56 6x = 10 + -56 Combine like terms: 10 + -56 = -46 6x = -46 Divide each side by '6'. x = -7.666666667 Simplifying x = -7.666666667
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