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Simplifying 34 + 4x = -6(1 + -4x) 34 + 4x = (1 * -6 + -4x * -6) 34 + 4x = (-6 + 24x) Solving 34 + 4x = -6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 34 + 4x + -24x = -6 + 24x + -24x Combine like terms: 4x + -24x = -20x 34 + -20x = -6 + 24x + -24x Combine like terms: 24x + -24x = 0 34 + -20x = -6 + 0 34 + -20x = -6 Add '-34' to each side of the equation. 34 + -34 + -20x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -20x = -6 + -34 -20x = -6 + -34 Combine like terms: -6 + -34 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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