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Simplifying 34 + 9x = 3(4x + -2) Reorder the terms: 34 + 9x = 3(-2 + 4x) 34 + 9x = (-2 * 3 + 4x * 3) 34 + 9x = (-6 + 12x) Solving 34 + 9x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 34 + 9x + -12x = -6 + 12x + -12x Combine like terms: 9x + -12x = -3x 34 + -3x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 34 + -3x = -6 + 0 34 + -3x = -6 Add '-34' to each side of the equation. 34 + -34 + -3x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = -6 + -34 -3x = -6 + -34 Combine like terms: -6 + -34 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333
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