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Simplifying 2(1 + -3x) = -34 + 3x (1 * 2 + -3x * 2) = -34 + 3x (2 + -6x) = -34 + 3x Solving 2 + -6x = -34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -6x + -3x = -34 + 3x + -3x Combine like terms: -6x + -3x = -9x 2 + -9x = -34 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -9x = -34 + 0 2 + -9x = -34 Add '-2' to each side of the equation. 2 + -2 + -9x = -34 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -34 + -2 -9x = -34 + -2 Combine like terms: -34 + -2 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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