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Simplifying 11(x + 1) = 20(x + -8) Reorder the terms: 11(1 + x) = 20(x + -8) (1 * 11 + x * 11) = 20(x + -8) (11 + 11x) = 20(x + -8) Reorder the terms: 11 + 11x = 20(-8 + x) 11 + 11x = (-8 * 20 + x * 20) 11 + 11x = (-160 + 20x) Solving 11 + 11x = -160 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 11 + 11x + -20x = -160 + 20x + -20x Combine like terms: 11x + -20x = -9x 11 + -9x = -160 + 20x + -20x Combine like terms: 20x + -20x = 0 11 + -9x = -160 + 0 11 + -9x = -160 Add '-11' to each side of the equation. 11 + -11 + -9x = -160 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = -160 + -11 -9x = -160 + -11 Combine like terms: -160 + -11 = -171 -9x = -171 Divide each side by '-9'. x = 19 Simplifying x = 19
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