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Simplifying 14x + 24 = 42 + 10x Reorder the terms: 24 + 14x = 42 + 10x Solving 24 + 14x = 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. 24 + 14x + -10x = 42 + 10x + -10x Combine like terms: 14x + -10x = 4x 24 + 4x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 4x = 42 + 0 24 + 4x = 42 Add '-24' to each side of the equation. 24 + -24 + 4x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 42 + -24 4x = 42 + -24 Combine like terms: 42 + -24 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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