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Simplifying 5x + 30 = 14x + -78 Reorder the terms: 30 + 5x = 14x + -78 Reorder the terms: 30 + 5x = -78 + 14x Solving 30 + 5x = -78 + 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. 30 + 5x + -14x = -78 + 14x + -14x Combine like terms: 5x + -14x = -9x 30 + -9x = -78 + 14x + -14x Combine like terms: 14x + -14x = 0 30 + -9x = -78 + 0 30 + -9x = -78 Add '-30' to each side of the equation. 30 + -30 + -9x = -78 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -78 + -30 -9x = -78 + -30 Combine like terms: -78 + -30 = -108 -9x = -108 Divide each side by '-9'. x = 12 Simplifying x = 12
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