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Simplifying 7x + (-39) = 24x + 12 7x + -39 = 24x + 12 Reorder the terms: -39 + 7x = 24x + 12 Reorder the terms: -39 + 7x = 12 + 24x Solving -39 + 7x = 12 + 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. -39 + 7x + -24x = 12 + 24x + -24x Combine like terms: 7x + -24x = -17x -39 + -17x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -39 + -17x = 12 + 0 -39 + -17x = 12 Add '39' to each side of the equation. -39 + 39 + -17x = 12 + 39 Combine like terms: -39 + 39 = 0 0 + -17x = 12 + 39 -17x = 12 + 39 Combine like terms: 12 + 39 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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