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Simplifying 24x + 42 = -54x + 107 Reorder the terms: 42 + 24x = -54x + 107 Reorder the terms: 42 + 24x = 107 + -54x Solving 42 + 24x = 107 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 42 + 24x + 54x = 107 + -54x + 54x Combine like terms: 24x + 54x = 78x 42 + 78x = 107 + -54x + 54x Combine like terms: -54x + 54x = 0 42 + 78x = 107 + 0 42 + 78x = 107 Add '-42' to each side of the equation. 42 + -42 + 78x = 107 + -42 Combine like terms: 42 + -42 = 0 0 + 78x = 107 + -42 78x = 107 + -42 Combine like terms: 107 + -42 = 65 78x = 65 Divide each side by '78'. x = 0.8333333333 Simplifying x = 0.8333333333
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