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Simplifying -9(9x + 9) = 10(10x + 10) Reorder the terms: -9(9 + 9x) = 10(10x + 10) (9 * -9 + 9x * -9) = 10(10x + 10) (-81 + -81x) = 10(10x + 10) Reorder the terms: -81 + -81x = 10(10 + 10x) -81 + -81x = (10 * 10 + 10x * 10) -81 + -81x = (100 + 100x) Solving -81 + -81x = 100 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -81 + -81x + -100x = 100 + 100x + -100x Combine like terms: -81x + -100x = -181x -81 + -181x = 100 + 100x + -100x Combine like terms: 100x + -100x = 0 -81 + -181x = 100 + 0 -81 + -181x = 100 Add '81' to each side of the equation. -81 + 81 + -181x = 100 + 81 Combine like terms: -81 + 81 = 0 0 + -181x = 100 + 81 -181x = 100 + 81 Combine like terms: 100 + 81 = 181 -181x = 181 Divide each side by '-181'. x = -1 Simplifying x = -1
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