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Simplifying 6(1 + -2x) = 38 + -8x (1 * 6 + -2x * 6) = 38 + -8x (6 + -12x) = 38 + -8x Solving 6 + -12x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -12x + 8x = 38 + -8x + 8x Combine like terms: -12x + 8x = -4x 6 + -4x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + -4x = 38 + 0 6 + -4x = 38 Add '-6' to each side of the equation. 6 + -6 + -4x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 38 + -6 -4x = 38 + -6 Combine like terms: 38 + -6 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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