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Simplifying 4 + -2(1 + 2x) = -6 4 + (1 * -2 + 2x * -2) = -6 4 + (-2 + -4x) = -6 Combine like terms: 4 + -2 = 2 2 + -4x = -6 Solving 2 + -4x = -6 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 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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