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Simplifying 5x + -214 = -11x + 58 Reorder the terms: -214 + 5x = -11x + 58 Reorder the terms: -214 + 5x = 58 + -11x Solving -214 + 5x = 58 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -214 + 5x + 11x = 58 + -11x + 11x Combine like terms: 5x + 11x = 16x -214 + 16x = 58 + -11x + 11x Combine like terms: -11x + 11x = 0 -214 + 16x = 58 + 0 -214 + 16x = 58 Add '214' to each side of the equation. -214 + 214 + 16x = 58 + 214 Combine like terms: -214 + 214 = 0 0 + 16x = 58 + 214 16x = 58 + 214 Combine like terms: 58 + 214 = 272 16x = 272 Divide each side by '16'. x = 17 Simplifying x = 17
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