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Simplifying 8 + 2(1 + -2x) = 38 8 + (1 * 2 + -2x * 2) = 38 8 + (2 + -4x) = 38 Combine like terms: 8 + 2 = 10 10 + -4x = 38 Solving 10 + -4x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 38 + -10 -4x = 38 + -10 Combine like terms: 38 + -10 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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