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Simplifying 6x + 14 = 116 + -7x Reorder the terms: 14 + 6x = 116 + -7x Solving 14 + 6x = 116 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + 6x + 7x = 116 + -7x + 7x Combine like terms: 6x + 7x = 13x 14 + 13x = 116 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 13x = 116 + 0 14 + 13x = 116 Add '-14' to each side of the equation. 14 + -14 + 13x = 116 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 116 + -14 13x = 116 + -14 Combine like terms: 116 + -14 = 102 13x = 102 Divide each side by '13'. x = 7.846153846 Simplifying x = 7.846153846
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