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Simplifying -42 + -10x = 34 + -24x Solving -42 + -10x = 34 + -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 + -10x + 24x = 34 + -24x + 24x Combine like terms: -10x + 24x = 14x -42 + 14x = 34 + -24x + 24x Combine like terms: -24x + 24x = 0 -42 + 14x = 34 + 0 -42 + 14x = 34 Add '42' to each side of the equation. -42 + 42 + 14x = 34 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 34 + 42 14x = 34 + 42 Combine like terms: 34 + 42 = 76 14x = 76 Divide each side by '14'. x = 5.428571429 Simplifying x = 5.428571429
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