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Simplifying 5x + 34 = -2(i + -7x) Reorder the terms: 34 + 5x = -2(i + -7x) 34 + 5x = (i * -2 + -7x * -2) 34 + 5x = (-2i + 14x) Solving 34 + 5x = -2i + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + 5x + -14x = -2i + 14x + -14x Combine like terms: 5x + -14x = -9x 34 + -9x = -2i + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -9x = -2i + 0 34 + -9x = -2i Add '-34' to each side of the equation. 34 + -34 + -9x = -34 + -2i Combine like terms: 34 + -34 = 0 0 + -9x = -34 + -2i -9x = -34 + -2i Divide each side by '-9'. x = 3.777777778 + 0.2222222222i Simplifying x = 3.777777778 + 0.2222222222i
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