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Simplifying 9(x + 8) * 12 = 8(x + 8) + 10 Reorder the terms: 9(8 + x) * 12 = 8(x + 8) + 10 Reorder the terms for easier multiplication: 9 * 12(8 + x) = 8(x + 8) + 10 Multiply 9 * 12 108(8 + x) = 8(x + 8) + 10 (8 * 108 + x * 108) = 8(x + 8) + 10 (864 + 108x) = 8(x + 8) + 10 Reorder the terms: 864 + 108x = 8(8 + x) + 10 864 + 108x = (8 * 8 + x * 8) + 10 864 + 108x = (64 + 8x) + 10 Reorder the terms: 864 + 108x = 64 + 10 + 8x Combine like terms: 64 + 10 = 74 864 + 108x = 74 + 8x Solving 864 + 108x = 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. 864 + 108x + -8x = 74 + 8x + -8x Combine like terms: 108x + -8x = 100x 864 + 100x = 74 + 8x + -8x Combine like terms: 8x + -8x = 0 864 + 100x = 74 + 0 864 + 100x = 74 Add '-864' to each side of the equation. 864 + -864 + 100x = 74 + -864 Combine like terms: 864 + -864 = 0 0 + 100x = 74 + -864 100x = 74 + -864 Combine like terms: 74 + -864 = -790 100x = -790 Divide each side by '100'. x = -7.9 Simplifying x = -7.9
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