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Simplifying x + (x + 9)(-9) = x + -9 Reorder the terms: x + (9 + x)(-9) = x + -9 Reorder the terms for easier multiplication: x + -9(9 + x) = x + -9 x + (9 * -9 + x * -9) = x + -9 x + (-81 + -9x) = x + -9 Reorder the terms: -81 + x + -9x = x + -9 Combine like terms: x + -9x = -8x -81 + -8x = x + -9 Reorder the terms: -81 + -8x = -9 + x Solving -81 + -8x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -81 + -8x + -1x = -9 + x + -1x Combine like terms: -8x + -1x = -9x -81 + -9x = -9 + x + -1x Combine like terms: x + -1x = 0 -81 + -9x = -9 + 0 -81 + -9x = -9 Add '81' to each side of the equation. -81 + 81 + -9x = -9 + 81 Combine like terms: -81 + 81 = 0 0 + -9x = -9 + 81 -9x = -9 + 81 Combine like terms: -9 + 81 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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