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Simplifying 9(9x + 9) + 9 = 11x + -2(x + -4) Reorder the terms: 9(9 + 9x) + 9 = 11x + -2(x + -4) (9 * 9 + 9x * 9) + 9 = 11x + -2(x + -4) (81 + 81x) + 9 = 11x + -2(x + -4) Reorder the terms: 81 + 9 + 81x = 11x + -2(x + -4) Combine like terms: 81 + 9 = 90 90 + 81x = 11x + -2(x + -4) Reorder the terms: 90 + 81x = 11x + -2(-4 + x) 90 + 81x = 11x + (-4 * -2 + x * -2) 90 + 81x = 11x + (8 + -2x) Reorder the terms: 90 + 81x = 8 + 11x + -2x Combine like terms: 11x + -2x = 9x 90 + 81x = 8 + 9x Solving 90 + 81x = 8 + 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. 90 + 81x + -9x = 8 + 9x + -9x Combine like terms: 81x + -9x = 72x 90 + 72x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 90 + 72x = 8 + 0 90 + 72x = 8 Add '-90' to each side of the equation. 90 + -90 + 72x = 8 + -90 Combine like terms: 90 + -90 = 0 0 + 72x = 8 + -90 72x = 8 + -90 Combine like terms: 8 + -90 = -82 72x = -82 Divide each side by '72'. x = -1.138888889 Simplifying x = -1.138888889
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