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Simplifying 11(x + -10) = 10(x + -9) Reorder the terms: 11(-10 + x) = 10(x + -9) (-10 * 11 + x * 11) = 10(x + -9) (-110 + 11x) = 10(x + -9) Reorder the terms: -110 + 11x = 10(-9 + x) -110 + 11x = (-9 * 10 + x * 10) -110 + 11x = (-90 + 10x) Solving -110 + 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. -110 + 11x + -10x = -90 + 10x + -10x Combine like terms: 11x + -10x = 1x -110 + 1x = -90 + 10x + -10x Combine like terms: 10x + -10x = 0 -110 + 1x = -90 + 0 -110 + 1x = -90 Add '110' to each side of the equation. -110 + 110 + 1x = -90 + 110 Combine like terms: -110 + 110 = 0 0 + 1x = -90 + 110 1x = -90 + 110 Combine like terms: -90 + 110 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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