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Simplifying -5x + 2(1 + -3x) = -34 + -5x -5x + (1 * 2 + -3x * 2) = -34 + -5x -5x + (2 + -6x) = -34 + -5x Reorder the terms: 2 + -5x + -6x = -34 + -5x Combine like terms: -5x + -6x = -11x 2 + -11x = -34 + -5x Solving 2 + -11x = -34 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -11x + 5x = -34 + -5x + 5x Combine like terms: -11x + 5x = -6x 2 + -6x = -34 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -6x = -34 + 0 2 + -6x = -34 Add '-2' to each side of the equation. 2 + -2 + -6x = -34 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -34 + -2 -6x = -34 + -2 Combine like terms: -34 + -2 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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