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Simplifying 120x + 42 = 10 + -24x Reorder the terms: 42 + 120x = 10 + -24x Solving 42 + 120x = 10 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + 120x + 24x = 10 + -24x + 24x Combine like terms: 120x + 24x = 144x 42 + 144x = 10 + -24x + 24x Combine like terms: -24x + 24x = 0 42 + 144x = 10 + 0 42 + 144x = 10 Add '-42' to each side of the equation. 42 + -42 + 144x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 144x = 10 + -42 144x = 10 + -42 Combine like terms: 10 + -42 = -32 144x = -32 Divide each side by '144'. x = -0.2222222222 Simplifying x = -0.2222222222
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