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Simplifying 5x + 78 = 14x + -75 Reorder the terms: 78 + 5x = 14x + -75 Reorder the terms: 78 + 5x = -75 + 14x Solving 78 + 5x = -75 + 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. 78 + 5x + -14x = -75 + 14x + -14x Combine like terms: 5x + -14x = -9x 78 + -9x = -75 + 14x + -14x Combine like terms: 14x + -14x = 0 78 + -9x = -75 + 0 78 + -9x = -75 Add '-78' to each side of the equation. 78 + -78 + -9x = -75 + -78 Combine like terms: 78 + -78 = 0 0 + -9x = -75 + -78 -9x = -75 + -78 Combine like terms: -75 + -78 = -153 -9x = -153 Divide each side by '-9'. x = 17 Simplifying x = 17
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