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Simplifying x + 105 = 9(x + 1) Reorder the terms: 105 + x = 9(x + 1) Reorder the terms: 105 + x = 9(1 + x) 105 + x = (1 * 9 + x * 9) 105 + x = (9 + 9x) Solving 105 + x = 9 + 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. 105 + x + -9x = 9 + 9x + -9x Combine like terms: x + -9x = -8x 105 + -8x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 105 + -8x = 9 + 0 105 + -8x = 9 Add '-105' to each side of the equation. 105 + -105 + -8x = 9 + -105 Combine like terms: 105 + -105 = 0 0 + -8x = 9 + -105 -8x = 9 + -105 Combine like terms: 9 + -105 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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