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Simplifying 4 + 2(2x + 11) = 2(x + 11) Reorder the terms: 4 + 2(11 + 2x) = 2(x + 11) 4 + (11 * 2 + 2x * 2) = 2(x + 11) 4 + (22 + 4x) = 2(x + 11) Combine like terms: 4 + 22 = 26 26 + 4x = 2(x + 11) Reorder the terms: 26 + 4x = 2(11 + x) 26 + 4x = (11 * 2 + x * 2) 26 + 4x = (22 + 2x) Solving 26 + 4x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 26 + 4x + -2x = 22 + 2x + -2x Combine like terms: 4x + -2x = 2x 26 + 2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 2x = 22 + 0 26 + 2x = 22 Add '-26' to each side of the equation. 26 + -26 + 2x = 22 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 22 + -26 2x = 22 + -26 Combine like terms: 22 + -26 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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