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Simplifying 6(x + 6) = 2(11 + 2x) Reorder the terms: 6(6 + x) = 2(11 + 2x) (6 * 6 + x * 6) = 2(11 + 2x) (36 + 6x) = 2(11 + 2x) 36 + 6x = (11 * 2 + 2x * 2) 36 + 6x = (22 + 4x) Solving 36 + 6x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + 6x + -4x = 22 + 4x + -4x Combine like terms: 6x + -4x = 2x 36 + 2x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 2x = 22 + 0 36 + 2x = 22 Add '-36' to each side of the equation. 36 + -36 + 2x = 22 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 22 + -36 2x = 22 + -36 Combine like terms: 22 + -36 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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