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Simplifying 5x + 14 = 9x + -6 Reorder the terms: 14 + 5x = 9x + -6 Reorder the terms: 14 + 5x = -6 + 9x Solving 14 + 5x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 14 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -4x = -6 + 0 14 + -4x = -6 Add '-14' to each side of the equation. 14 + -14 + -4x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -6 + -14 -4x = -6 + -14 Combine like terms: -6 + -14 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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