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Simplifying 3x + 14 = 38 + -10x Reorder the terms: 14 + 3x = 38 + -10x Solving 14 + 3x = 38 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + 3x + 10x = 38 + -10x + 10x Combine like terms: 3x + 10x = 13x 14 + 13x = 38 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 13x = 38 + 0 14 + 13x = 38 Add '-14' to each side of the equation. 14 + -14 + 13x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 38 + -14 13x = 38 + -14 Combine like terms: 38 + -14 = 24 13x = 24 Divide each side by '13'. x = 1.846153846 Simplifying x = 1.846153846
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