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Simplifying 5x + -2 + 78 = 14x + 13 Reorder the terms: -2 + 78 + 5x = 14x + 13 Combine like terms: -2 + 78 = 76 76 + 5x = 14x + 13 Reorder the terms: 76 + 5x = 13 + 14x Solving 76 + 5x = 13 + 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. 76 + 5x + -14x = 13 + 14x + -14x Combine like terms: 5x + -14x = -9x 76 + -9x = 13 + 14x + -14x Combine like terms: 14x + -14x = 0 76 + -9x = 13 + 0 76 + -9x = 13 Add '-76' to each side of the equation. 76 + -76 + -9x = 13 + -76 Combine like terms: 76 + -76 = 0 0 + -9x = 13 + -76 -9x = 13 + -76 Combine like terms: 13 + -76 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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