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Simplifying 2(11 + x) = 5(x + 2) (11 * 2 + x * 2) = 5(x + 2) (22 + 2x) = 5(x + 2) Reorder the terms: 22 + 2x = 5(2 + x) 22 + 2x = (2 * 5 + x * 5) 22 + 2x = (10 + 5x) Solving 22 + 2x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 22 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -3x = 10 + 0 22 + -3x = 10 Add '-22' to each side of the equation. 22 + -22 + -3x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 10 + -22 -3x = 10 + -22 Combine like terms: 10 + -22 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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