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Simplifying 2(x + 6) + 2(x + -6) = 48 Reorder the terms: 2(6 + x) + 2(x + -6) = 48 (6 * 2 + x * 2) + 2(x + -6) = 48 (12 + 2x) + 2(x + -6) = 48 Reorder the terms: 12 + 2x + 2(-6 + x) = 48 12 + 2x + (-6 * 2 + x * 2) = 48 12 + 2x + (-12 + 2x) = 48 Reorder the terms: 12 + -12 + 2x + 2x = 48 Combine like terms: 12 + -12 = 0 0 + 2x + 2x = 48 2x + 2x = 48 Combine like terms: 2x + 2x = 4x 4x = 48 Solving 4x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 12 Simplifying x = 12
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