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Simplifying 11(x + -11) = 10(x + -9) Reorder the terms: 11(-11 + x) = 10(x + -9) (-11 * 11 + x * 11) = 10(x + -9) (-121 + 11x) = 10(x + -9) Reorder the terms: -121 + 11x = 10(-9 + x) -121 + 11x = (-9 * 10 + x * 10) -121 + 11x = (-90 + 10x) Solving -121 + 11x = -90 + 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. -121 + 11x + -10x = -90 + 10x + -10x Combine like terms: 11x + -10x = 1x -121 + 1x = -90 + 10x + -10x Combine like terms: 10x + -10x = 0 -121 + 1x = -90 + 0 -121 + 1x = -90 Add '121' to each side of the equation. -121 + 121 + 1x = -90 + 121 Combine like terms: -121 + 121 = 0 0 + 1x = -90 + 121 1x = -90 + 121 Combine like terms: -90 + 121 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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