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Simplifying 2(x) + 2(x + -6) = 52 Reorder the terms: 2x + 2(-6 + x) = 52 2x + (-6 * 2 + x * 2) = 52 2x + (-12 + 2x) = 52 Reorder the terms: -12 + 2x + 2x = 52 Combine like terms: 2x + 2x = 4x -12 + 4x = 52 Solving -12 + 4x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 52 + 12 4x = 52 + 12 Combine like terms: 52 + 12 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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