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Simplifying 8x + 14 = -2x + 34 Reorder the terms: 14 + 8x = -2x + 34 Reorder the terms: 14 + 8x = 34 + -2x Solving 14 + 8x = 34 + -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 + 8x + 2x = 34 + -2x + 2x Combine like terms: 8x + 2x = 10x 14 + 10x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 10x = 34 + 0 14 + 10x = 34 Add '-14' to each side of the equation. 14 + -14 + 10x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 34 + -14 10x = 34 + -14 Combine like terms: 34 + -14 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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