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Simplifying 2(6 + x) + 2(10 + x) = 6 (6 * 2 + x * 2) + 2(10 + x) = 6 (12 + 2x) + 2(10 + x) = 6 12 + 2x + (10 * 2 + x * 2) = 6 12 + 2x + (20 + 2x) = 6 Reorder the terms: 12 + 20 + 2x + 2x = 6 Combine like terms: 12 + 20 = 32 32 + 2x + 2x = 6 Combine like terms: 2x + 2x = 4x 32 + 4x = 6 Solving 32 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 6 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 6 + -32 4x = 6 + -32 Combine like terms: 6 + -32 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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