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Simplifying 2x + 2(2x + -12) = 42 Reorder the terms: 2x + 2(-12 + 2x) = 42 2x + (-12 * 2 + 2x * 2) = 42 2x + (-24 + 4x) = 42 Reorder the terms: -24 + 2x + 4x = 42 Combine like terms: 2x + 4x = 6x -24 + 6x = 42 Solving -24 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 42 + 24 6x = 42 + 24 Combine like terms: 42 + 24 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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