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Simplifying 5x + 34 = 14x + -32 Reorder the terms: 34 + 5x = 14x + -32 Reorder the terms: 34 + 5x = -32 + 14x Solving 34 + 5x = -32 + 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 = -32 + 14x + -14x Combine like terms: 5x + -14x = -9x 34 + -9x = -32 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -9x = -32 + 0 34 + -9x = -32 Add '-34' to each side of the equation. 34 + -34 + -9x = -32 + -34 Combine like terms: 34 + -34 = 0 0 + -9x = -32 + -34 -9x = -32 + -34 Combine like terms: -32 + -34 = -66 -9x = -66 Divide each side by '-9'. x = 7.333333333 Simplifying x = 7.333333333
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