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Simplifying 5x + -2 = 14x + -83 Reorder the terms: -2 + 5x = 14x + -83 Reorder the terms: -2 + 5x = -83 + 14x Solving -2 + 5x = -83 + 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. -2 + 5x + -14x = -83 + 14x + -14x Combine like terms: 5x + -14x = -9x -2 + -9x = -83 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -9x = -83 + 0 -2 + -9x = -83 Add '2' to each side of the equation. -2 + 2 + -9x = -83 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -83 + 2 -9x = -83 + 2 Combine like terms: -83 + 2 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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