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Simplifying 4 + -2(2 + -2x) = 2(x + -8) 4 + (2 * -2 + -2x * -2) = 2(x + -8) 4 + (-4 + 4x) = 2(x + -8) Combine like terms: 4 + -4 = 0 0 + 4x = 2(x + -8) 4x = 2(x + -8) Reorder the terms: 4x = 2(-8 + x) 4x = (-8 * 2 + x * 2) 4x = (-16 + 2x) Solving 4x = -16 + 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. 4x + -2x = -16 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = -16 + 0 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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