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Simplifying 7(8 + x) = 6(9 + x) (8 * 7 + x * 7) = 6(9 + x) (56 + 7x) = 6(9 + x) 56 + 7x = (9 * 6 + x * 6) 56 + 7x = (54 + 6x) Solving 56 + 7x = 54 + 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 = 54 + 6x + -6x Combine like terms: 7x + -6x = 1x 56 + 1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + 1x = 54 + 0 56 + 1x = 54 Add '-56' to each side of the equation. 56 + -56 + 1x = 54 + -56 Combine like terms: 56 + -56 = 0 0 + 1x = 54 + -56 1x = 54 + -56 Combine like terms: 54 + -56 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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