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Simplifying 7x + -24 = 8x + -39 Reorder the terms: -24 + 7x = 8x + -39 Reorder the terms: -24 + 7x = -39 + 8x Solving -24 + 7x = -39 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 7x + -8x = -39 + 8x + -8x Combine like terms: 7x + -8x = -1x -24 + -1x = -39 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -1x = -39 + 0 -24 + -1x = -39 Add '24' to each side of the equation. -24 + 24 + -1x = -39 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -39 + 24 -1x = -39 + 24 Combine like terms: -39 + 24 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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