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Simplifying 6(1 + 2x) = -34 + 4x (1 * 6 + 2x * 6) = -34 + 4x (6 + 12x) = -34 + 4x Solving 6 + 12x = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 12x + -4x = -34 + 4x + -4x Combine like terms: 12x + -4x = 8x 6 + 8x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 8x = -34 + 0 6 + 8x = -34 Add '-6' to each side of the equation. 6 + -6 + 8x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -34 + -6 8x = -34 + -6 Combine like terms: -34 + -6 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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