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Simplifying 9(x + 18) + 12 = 8(x + 8) + 10 Reorder the terms: 9(18 + x) + 12 = 8(x + 8) + 10 (18 * 9 + x * 9) + 12 = 8(x + 8) + 10 (162 + 9x) + 12 = 8(x + 8) + 10 Reorder the terms: 162 + 12 + 9x = 8(x + 8) + 10 Combine like terms: 162 + 12 = 174 174 + 9x = 8(x + 8) + 10 Reorder the terms: 174 + 9x = 8(8 + x) + 10 174 + 9x = (8 * 8 + x * 8) + 10 174 + 9x = (64 + 8x) + 10 Reorder the terms: 174 + 9x = 64 + 10 + 8x Combine like terms: 64 + 10 = 74 174 + 9x = 74 + 8x Solving 174 + 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. 174 + 9x + -8x = 74 + 8x + -8x Combine like terms: 9x + -8x = 1x 174 + 1x = 74 + 8x + -8x Combine like terms: 8x + -8x = 0 174 + 1x = 74 + 0 174 + 1x = 74 Add '-174' to each side of the equation. 174 + -174 + 1x = 74 + -174 Combine like terms: 174 + -174 = 0 0 + 1x = 74 + -174 1x = 74 + -174 Combine like terms: 74 + -174 = -100 1x = -100 Divide each side by '1'. x = -100 Simplifying x = -100
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