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Simplifying 7(x + 9) = 10 + 1(x + 7) Reorder the terms: 7(9 + x) = 10 + 1(x + 7) (9 * 7 + x * 7) = 10 + 1(x + 7) (63 + 7x) = 10 + 1(x + 7) Reorder the terms: 63 + 7x = 10 + 1(7 + x) 63 + 7x = 10 + (7 * 1 + x * 1) 63 + 7x = 10 + (7 + 1x) Combine like terms: 10 + 7 = 17 63 + 7x = 17 + 1x Solving 63 + 7x = 17 + 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. 63 + 7x + -1x = 17 + 1x + -1x Combine like terms: 7x + -1x = 6x 63 + 6x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 63 + 6x = 17 + 0 63 + 6x = 17 Add '-63' to each side of the equation. 63 + -63 + 6x = 17 + -63 Combine like terms: 63 + -63 = 0 0 + 6x = 17 + -63 6x = 17 + -63 Combine like terms: 17 + -63 = -46 6x = -46 Divide each side by '6'. x = -7.666666667 Simplifying x = -7.666666667
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