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Simplifying 8x + 9x + -72 = 120 + -7x Reorder the terms: -72 + 8x + 9x = 120 + -7x Combine like terms: 8x + 9x = 17x -72 + 17x = 120 + -7x Solving -72 + 17x = 120 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -72 + 17x + 7x = 120 + -7x + 7x Combine like terms: 17x + 7x = 24x -72 + 24x = 120 + -7x + 7x Combine like terms: -7x + 7x = 0 -72 + 24x = 120 + 0 -72 + 24x = 120 Add '72' to each side of the equation. -72 + 72 + 24x = 120 + 72 Combine like terms: -72 + 72 = 0 0 + 24x = 120 + 72 24x = 120 + 72 Combine like terms: 120 + 72 = 192 24x = 192 Divide each side by '24'. x = 8 Simplifying x = 8
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