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Simplifying 5x + 14 = 84 + -2x Reorder the terms: 14 + 5x = 84 + -2x Solving 14 + 5x = 84 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 5x + 2x = 84 + -2x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = 84 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 7x = 84 + 0 14 + 7x = 84 Add '-14' to each side of the equation. 14 + -14 + 7x = 84 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 84 + -14 7x = 84 + -14 Combine like terms: 84 + -14 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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