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Simplifying 9(x + 8) + 12 = 8(c + 8) + 10 Reorder the terms: 9(8 + x) + 12 = 8(c + 8) + 10 (8 * 9 + x * 9) + 12 = 8(c + 8) + 10 (72 + 9x) + 12 = 8(c + 8) + 10 Reorder the terms: 72 + 12 + 9x = 8(c + 8) + 10 Combine like terms: 72 + 12 = 84 84 + 9x = 8(c + 8) + 10 Reorder the terms: 84 + 9x = 8(8 + c) + 10 84 + 9x = (8 * 8 + c * 8) + 10 84 + 9x = (64 + 8c) + 10 Reorder the terms: 84 + 9x = 64 + 10 + 8c Combine like terms: 64 + 10 = 74 84 + 9x = 74 + 8c Solving 84 + 9x = 74 + 8c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 9x = 74 + -84 + 8c Combine like terms: 84 + -84 = 0 0 + 9x = 74 + -84 + 8c 9x = 74 + -84 + 8c Combine like terms: 74 + -84 = -10 9x = -10 + 8c Divide each side by '9'. x = -1.111111111 + 0.8888888889c Simplifying x = -1.111111111 + 0.8888888889c
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