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Simplifying 8x + 7x + -24 = 96 + -9x Reorder the terms: -24 + 8x + 7x = 96 + -9x Combine like terms: 8x + 7x = 15x -24 + 15x = 96 + -9x Solving -24 + 15x = 96 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 15x + 9x = 96 + -9x + 9x Combine like terms: 15x + 9x = 24x -24 + 24x = 96 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 24x = 96 + 0 -24 + 24x = 96 Add '24' to each side of the equation. -24 + 24 + 24x = 96 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 96 + 24 24x = 96 + 24 Combine like terms: 96 + 24 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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