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Simplifying 34 + 8x = 8 + -6(1 + -2x) 34 + 8x = 8 + (1 * -6 + -2x * -6) 34 + 8x = 8 + (-6 + 12x) Combine like terms: 8 + -6 = 2 34 + 8x = 2 + 12x Solving 34 + 8x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 34 + 8x + -12x = 2 + 12x + -12x Combine like terms: 8x + -12x = -4x 34 + -4x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -4x = 2 + 0 34 + -4x = 2 Add '-34' to each side of the equation. 34 + -34 + -4x = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 2 + -34 -4x = 2 + -34 Combine like terms: 2 + -34 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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