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Simplifying 5x + -14 = 34 + x Reorder the terms: -14 + 5x = 34 + x Solving -14 + 5x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 5x + -1x = 34 + x + -1x Combine like terms: 5x + -1x = 4x -14 + 4x = 34 + x + -1x Combine like terms: x + -1x = 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 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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