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Simplifying 4x + 14 = 42 + -10x Reorder the terms: 14 + 4x = 42 + -10x Solving 14 + 4x = 42 + -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 + 4x + 10x = 42 + -10x + 10x Combine like terms: 4x + 10x = 14x 14 + 14x = 42 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 14x = 42 + 0 14 + 14x = 42 Add '-14' to each side of the equation. 14 + -14 + 14x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 42 + -14 14x = 42 + -14 Combine like terms: 42 + -14 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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