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Simplifying 8(1 + -4x) = 38 + -2x (1 * 8 + -4x * 8) = 38 + -2x (8 + -32x) = 38 + -2x Solving 8 + -32x = 38 + -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. 8 + -32x + 2x = 38 + -2x + 2x Combine like terms: -32x + 2x = -30x 8 + -30x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -30x = 38 + 0 8 + -30x = 38 Add '-8' to each side of the equation. 8 + -8 + -30x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -30x = 38 + -8 -30x = 38 + -8 Combine like terms: 38 + -8 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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