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Simplifying 12x + -9 = 11(x + 8) + -7 Reorder the terms: -9 + 12x = 11(x + 8) + -7 Reorder the terms: -9 + 12x = 11(8 + x) + -7 -9 + 12x = (8 * 11 + x * 11) + -7 -9 + 12x = (88 + 11x) + -7 Reorder the terms: -9 + 12x = 88 + -7 + 11x Combine like terms: 88 + -7 = 81 -9 + 12x = 81 + 11x Solving -9 + 12x = 81 + 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 = 81 + 11x + -11x Combine like terms: 12x + -11x = 1x -9 + 1x = 81 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + 1x = 81 + 0 -9 + 1x = 81 Add '9' to each side of the equation. -9 + 9 + 1x = 81 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 81 + 9 1x = 81 + 9 Combine like terms: 81 + 9 = 90 1x = 90 Divide each side by '1'. x = 90 Simplifying x = 90
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