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Simplifying 2(2x) + -2(x + 2) = 32 Remove parenthesis around (2x) 2 * 2x + -2(x + 2) = 32 Multiply 2 * 2 4x + -2(x + 2) = 32 Reorder the terms: 4x + -2(2 + x) = 32 4x + (2 * -2 + x * -2) = 32 4x + (-4 + -2x) = 32 Reorder the terms: -4 + 4x + -2x = 32 Combine like terms: 4x + -2x = 2x -4 + 2x = 32 Solving -4 + 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 32 + 4 2x = 32 + 4 Combine like terms: 32 + 4 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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