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Simplifying 12x + -7 = 11(x + 9) + -1 Reorder the terms: -7 + 12x = 11(x + 9) + -1 Reorder the terms: -7 + 12x = 11(9 + x) + -1 -7 + 12x = (9 * 11 + x * 11) + -1 -7 + 12x = (99 + 11x) + -1 Reorder the terms: -7 + 12x = 99 + -1 + 11x Combine like terms: 99 + -1 = 98 -7 + 12x = 98 + 11x Solving -7 + 12x = 98 + 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. -7 + 12x + -11x = 98 + 11x + -11x Combine like terms: 12x + -11x = 1x -7 + 1x = 98 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + 1x = 98 + 0 -7 + 1x = 98 Add '7' to each side of the equation. -7 + 7 + 1x = 98 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 98 + 7 1x = 98 + 7 Combine like terms: 98 + 7 = 105 1x = 105 Divide each side by '1'. x = 105 Simplifying x = 105
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