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Simplifying 2x + 14 = -4x + 38 Reorder the terms: 14 + 2x = -4x + 38 Reorder the terms: 14 + 2x = 38 + -4x Solving 14 + 2x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 2x + 4x = 38 + -4x + 4x Combine like terms: 2x + 4x = 6x 14 + 6x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 6x = 38 + 0 14 + 6x = 38 Add '-14' to each side of the equation. 14 + -14 + 6x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 38 + -14 6x = 38 + -14 Combine like terms: 38 + -14 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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