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Simplifying 5x + -9x + 14 = 5x + 32 Reorder the terms: 14 + 5x + -9x = 5x + 32 Combine like terms: 5x + -9x = -4x 14 + -4x = 5x + 32 Reorder the terms: 14 + -4x = 32 + 5x Solving 14 + -4x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 14 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -9x = 32 + 0 14 + -9x = 32 Add '-14' to each side of the equation. 14 + -14 + -9x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 32 + -14 -9x = 32 + -14 Combine like terms: 32 + -14 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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