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Simplifying 7(7 + x + 1) = 6(6 + x + 5) Reorder the terms: 7(7 + 1 + x) = 6(6 + x + 5) Combine like terms: 7 + 1 = 8 7(8 + x) = 6(6 + x + 5) (8 * 7 + x * 7) = 6(6 + x + 5) (56 + 7x) = 6(6 + x + 5) Reorder the terms: 56 + 7x = 6(6 + 5 + x) Combine like terms: 6 + 5 = 11 56 + 7x = 6(11 + x) 56 + 7x = (11 * 6 + x * 6) 56 + 7x = (66 + 6x) Solving 56 + 7x = 66 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 56 + 7x + -6x = 66 + 6x + -6x Combine like terms: 7x + -6x = 1x 56 + 1x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + 1x = 66 + 0 56 + 1x = 66 Add '-56' to each side of the equation. 56 + -56 + 1x = 66 + -56 Combine like terms: 56 + -56 = 0 0 + 1x = 66 + -56 1x = 66 + -56 Combine like terms: 66 + -56 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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