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Simplifying 8(1 + -4x) = 34 + -6x (1 * 8 + -4x * 8) = 34 + -6x (8 + -32x) = 34 + -6x Solving 8 + -32x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -32x + 6x = 34 + -6x + 6x Combine like terms: -32x + 6x = -26x 8 + -26x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -26x = 34 + 0 8 + -26x = 34 Add '-8' to each side of the equation. 8 + -8 + -26x = 34 + -8 Combine like terms: 8 + -8 = 0 0 + -26x = 34 + -8 -26x = 34 + -8 Combine like terms: 34 + -8 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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