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Simplifying -1 + 4(1 + -3x) = -34 + -6x -1 + (1 * 4 + -3x * 4) = -34 + -6x -1 + (4 + -12x) = -34 + -6x Combine like terms: -1 + 4 = 3 3 + -12x = -34 + -6x Solving 3 + -12x = -34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -12x + 6x = -34 + -6x + 6x Combine like terms: -12x + 6x = -6x 3 + -6x = -34 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -6x = -34 + 0 3 + -6x = -34 Add '-3' to each side of the equation. 3 + -3 + -6x = -34 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -34 + -3 -6x = -34 + -3 Combine like terms: -34 + -3 = -37 -6x = -37 Divide each side by '-6'. x = 6.166666667 Simplifying x = 6.166666667
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