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Simplifying 5x + 14 = 102 + -6x Reorder the terms: 14 + 5x = 102 + -6x Solving 14 + 5x = 102 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 5x + 6x = 102 + -6x + 6x Combine like terms: 5x + 6x = 11x 14 + 11x = 102 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 11x = 102 + 0 14 + 11x = 102 Add '-14' to each side of the equation. 14 + -14 + 11x = 102 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 102 + -14 11x = 102 + -14 Combine like terms: 102 + -14 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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