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Simplifying 4x + 14 = 77 + -5x Reorder the terms: 14 + 4x = 77 + -5x Solving 14 + 4x = 77 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + 4x + 5x = 77 + -5x + 5x Combine like terms: 4x + 5x = 9x 14 + 9x = 77 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 9x = 77 + 0 14 + 9x = 77 Add '-14' to each side of the equation. 14 + -14 + 9x = 77 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 77 + -14 9x = 77 + -14 Combine like terms: 77 + -14 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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