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Simplifying 8(8 + x) = 7(9 + x) (8 * 8 + x * 8) = 7(9 + x) (64 + 8x) = 7(9 + x) 64 + 8x = (9 * 7 + x * 7) 64 + 8x = (63 + 7x) Solving 64 + 8x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 64 + 8x + -7x = 63 + 7x + -7x Combine like terms: 8x + -7x = 1x 64 + 1x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 64 + 1x = 63 + 0 64 + 1x = 63 Add '-64' to each side of the equation. 64 + -64 + 1x = 63 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 63 + -64 1x = 63 + -64 Combine like terms: 63 + -64 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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