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Simplifying 5x + 69 = -2x + 83 Reorder the terms: 69 + 5x = -2x + 83 Reorder the terms: 69 + 5x = 83 + -2x Solving 69 + 5x = 83 + -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. 69 + 5x + 2x = 83 + -2x + 2x Combine like terms: 5x + 2x = 7x 69 + 7x = 83 + -2x + 2x Combine like terms: -2x + 2x = 0 69 + 7x = 83 + 0 69 + 7x = 83 Add '-69' to each side of the equation. 69 + -69 + 7x = 83 + -69 Combine like terms: 69 + -69 = 0 0 + 7x = 83 + -69 7x = 83 + -69 Combine like terms: 83 + -69 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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