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Simplifying 3x + 14 = -2x + 74 Reorder the terms: 14 + 3x = -2x + 74 Reorder the terms: 14 + 3x = 74 + -2x Solving 14 + 3x = 74 + -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 + 3x + 2x = 74 + -2x + 2x Combine like terms: 3x + 2x = 5x 14 + 5x = 74 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 5x = 74 + 0 14 + 5x = 74 Add '-14' to each side of the equation. 14 + -14 + 5x = 74 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 74 + -14 5x = 74 + -14 Combine like terms: 74 + -14 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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