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Simplifying 9(x + 8) + 12 = 8(x + 8) + 10 Reorder the terms: 9(8 + x) + 12 = 8(x + 8) + 10 (8 * 9 + x * 9) + 12 = 8(x + 8) + 10 (72 + 9x) + 12 = 8(x + 8) + 10 Reorder the terms: 72 + 12 + 9x = 8(x + 8) + 10 Combine like terms: 72 + 12 = 84 84 + 9x = 8(x + 8) + 10 Reorder the terms: 84 + 9x = 8(8 + x) + 10 84 + 9x = (8 * 8 + x * 8) + 10 84 + 9x = (64 + 8x) + 10 Reorder the terms: 84 + 9x = 64 + 10 + 8x Combine like terms: 64 + 10 = 74 84 + 9x = 74 + 8x Solving 84 + 9x = 74 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 84 + 9x + -8x = 74 + 8x + -8x Combine like terms: 9x + -8x = 1x 84 + 1x = 74 + 8x + -8x Combine like terms: 8x + -8x = 0 84 + 1x = 74 + 0 84 + 1x = 74 Add '-84' to each side of the equation. 84 + -84 + 1x = 74 + -84 Combine like terms: 84 + -84 = 0 0 + 1x = 74 + -84 1x = 74 + -84 Combine like terms: 74 + -84 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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