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Simplifying 7x + 8x + -48 = 96 + -9x Reorder the terms: -48 + 7x + 8x = 96 + -9x Combine like terms: 7x + 8x = 15x -48 + 15x = 96 + -9x Solving -48 + 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. -48 + 15x + 9x = 96 + -9x + 9x Combine like terms: 15x + 9x = 24x -48 + 24x = 96 + -9x + 9x Combine like terms: -9x + 9x = 0 -48 + 24x = 96 + 0 -48 + 24x = 96 Add '48' to each side of the equation. -48 + 48 + 24x = 96 + 48 Combine like terms: -48 + 48 = 0 0 + 24x = 96 + 48 24x = 96 + 48 Combine like terms: 96 + 48 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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