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Simplifying 3x + 14 = -1x + 34 Reorder the terms: 14 + 3x = -1x + 34 Reorder the terms: 14 + 3x = 34 + -1x Solving 14 + 3x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 3x + x = 34 + -1x + x Combine like terms: 3x + x = 4x 14 + 4x = 34 + -1x + x Combine like terms: -1x + x = 0 14 + 4x = 34 + 0 14 + 4x = 34 Add '-14' to each side of the equation. 14 + -14 + 4x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 34 + -14 4x = 34 + -14 Combine like terms: 34 + -14 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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