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Simplifying 2(11 + -2x) + 2(14 + -2x) = 82 (11 * 2 + -2x * 2) + 2(14 + -2x) = 82 (22 + -4x) + 2(14 + -2x) = 82 22 + -4x + (14 * 2 + -2x * 2) = 82 22 + -4x + (28 + -4x) = 82 Reorder the terms: 22 + 28 + -4x + -4x = 82 Combine like terms: 22 + 28 = 50 50 + -4x + -4x = 82 Combine like terms: -4x + -4x = -8x 50 + -8x = 82 Solving 50 + -8x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -8x = 82 + -50 Combine like terms: 50 + -50 = 0 0 + -8x = 82 + -50 -8x = 82 + -50 Combine like terms: 82 + -50 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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