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