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Simplifying 34 + 4x = 3(-2 + 3x) 34 + 4x = (-2 * 3 + 3x * 3) 34 + 4x = (-6 + 9x) Solving 34 + 4x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 34 + 4x + -9x = -6 + 9x + -9x Combine like terms: 4x + -9x = -5x 34 + -5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 34 + -5x = -6 + 0 34 + -5x = -6 Add '-34' to each side of the equation. 34 + -34 + -5x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = -6 + -34 -5x = -6 + -34 Combine like terms: -6 + -34 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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