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Simplifying 5x + 78 = 9x + -14 Reorder the terms: 78 + 5x = 9x + -14 Reorder the terms: 78 + 5x = -14 + 9x Solving 78 + 5x = -14 + 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. 78 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x 78 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 78 + -4x = -14 + 0 78 + -4x = -14 Add '-78' to each side of the equation. 78 + -78 + -4x = -14 + -78 Combine like terms: 78 + -78 = 0 0 + -4x = -14 + -78 -4x = -14 + -78 Combine like terms: -14 + -78 = -92 -4x = -92 Divide each side by '-4'. x = 23 Simplifying x = 23
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