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Simplifying (8 + 2 + x) * 8 = (9 + x + -1) * 9 Combine like terms: 8 + 2 = 10 (10 + x) * 8 = (9 + x + -1) * 9 Reorder the terms for easier multiplication: 8(10 + x) = (9 + x + -1) * 9 (10 * 8 + x * 8) = (9 + x + -1) * 9 (80 + 8x) = (9 + x + -1) * 9 Reorder the terms: 80 + 8x = (9 + -1 + x) * 9 Combine like terms: 9 + -1 = 8 80 + 8x = (8 + x) * 9 Reorder the terms for easier multiplication: 80 + 8x = 9(8 + x) 80 + 8x = (8 * 9 + x * 9) 80 + 8x = (72 + 9x) Solving 80 + 8x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 80 + 8x + -9x = 72 + 9x + -9x Combine like terms: 8x + -9x = -1x 80 + -1x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 80 + -1x = 72 + 0 80 + -1x = 72 Add '-80' to each side of the equation. 80 + -80 + -1x = 72 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 72 + -80 -1x = 72 + -80 Combine like terms: 72 + -80 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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