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Simplifying 11 + 2(10 + -8x) = 21 + -11x 11 + (10 * 2 + -8x * 2) = 21 + -11x 11 + (20 + -16x) = 21 + -11x Combine like terms: 11 + 20 = 31 31 + -16x = 21 + -11x Solving 31 + -16x = 21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 31 + -16x + 11x = 21 + -11x + 11x Combine like terms: -16x + 11x = -5x 31 + -5x = 21 + -11x + 11x Combine like terms: -11x + 11x = 0 31 + -5x = 21 + 0 31 + -5x = 21 Add '-31' to each side of the equation. 31 + -31 + -5x = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 21 + -31 -5x = 21 + -31 Combine like terms: 21 + -31 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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