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Simplifying 5x + 27 = 14x + -32 Reorder the terms: 27 + 5x = 14x + -32 Reorder the terms: 27 + 5x = -32 + 14x Solving 27 + 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. 27 + 5x + -14x = -32 + 14x + -14x Combine like terms: 5x + -14x = -9x 27 + -9x = -32 + 14x + -14x Combine like terms: 14x + -14x = 0 27 + -9x = -32 + 0 27 + -9x = -32 Add '-27' to each side of the equation. 27 + -27 + -9x = -32 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -32 + -27 -9x = -32 + -27 Combine like terms: -32 + -27 = -59 -9x = -59 Divide each side by '-9'. x = 6.555555556 Simplifying x = 6.555555556
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