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Simplifying 12x + 9 = 11(x + 10) + 1 Reorder the terms: 9 + 12x = 11(x + 10) + 1 Reorder the terms: 9 + 12x = 11(10 + x) + 1 9 + 12x = (10 * 11 + x * 11) + 1 9 + 12x = (110 + 11x) + 1 Reorder the terms: 9 + 12x = 110 + 1 + 11x Combine like terms: 110 + 1 = 111 9 + 12x = 111 + 11x Solving 9 + 12x = 111 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 9 + 12x + -11x = 111 + 11x + -11x Combine like terms: 12x + -11x = 1x 9 + 1x = 111 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + 1x = 111 + 0 9 + 1x = 111 Add '-9' to each side of the equation. 9 + -9 + 1x = 111 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 111 + -9 1x = 111 + -9 Combine like terms: 111 + -9 = 102 1x = 102 Divide each side by '1'. x = 102 Simplifying x = 102
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