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Simplifying 6(1 + -4x) = -34 + -4x (1 * 6 + -4x * 6) = -34 + -4x (6 + -24x) = -34 + -4x Solving 6 + -24x = -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 + -24x + 4x = -34 + -4x + 4x Combine like terms: -24x + 4x = -20x 6 + -20x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -20x = -34 + 0 6 + -20x = -34 Add '-6' to each side of the equation. 6 + -6 + -20x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -20x = -34 + -6 -20x = -34 + -6 Combine like terms: -34 + -6 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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