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Simplifying 6x + 14 = 77 + -3x Reorder the terms: 14 + 6x = 77 + -3x Solving 14 + 6x = 77 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 6x + 3x = 77 + -3x + 3x Combine like terms: 6x + 3x = 9x 14 + 9x = 77 + -3x + 3x Combine like terms: -3x + 3x = 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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