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Simplifying 9(x + -9) = 10x + -83 Reorder the terms: 9(-9 + x) = 10x + -83 (-9 * 9 + x * 9) = 10x + -83 (-81 + 9x) = 10x + -83 Reorder the terms: -81 + 9x = -83 + 10x Solving -81 + 9x = -83 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -81 + 9x + -10x = -83 + 10x + -10x Combine like terms: 9x + -10x = -1x -81 + -1x = -83 + 10x + -10x Combine like terms: 10x + -10x = 0 -81 + -1x = -83 + 0 -81 + -1x = -83 Add '81' to each side of the equation. -81 + 81 + -1x = -83 + 81 Combine like terms: -81 + 81 = 0 0 + -1x = -83 + 81 -1x = -83 + 81 Combine like terms: -83 + 81 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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