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Simplifying 4 + -2(x + 4) + 2 = 2 Reorder the terms: 4 + -2(4 + x) + 2 = 2 4 + (4 * -2 + x * -2) + 2 = 2 4 + (-8 + -2x) + 2 = 2 Reorder the terms: 4 + -8 + 2 + -2x = 2 Combine like terms: 4 + -8 = -4 -4 + 2 + -2x = 2 Combine like terms: -4 + 2 = -2 -2 + -2x = 2 Solving -2 + -2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 2 + 2 -2x = 2 + 2 Combine like terms: 2 + 2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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