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Simplifying 5x + 7x + -84 = 92 + -9x Reorder the terms: -84 + 5x + 7x = 92 + -9x Combine like terms: 5x + 7x = 12x -84 + 12x = 92 + -9x Solving -84 + 12x = 92 + -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. -84 + 12x + 9x = 92 + -9x + 9x Combine like terms: 12x + 9x = 21x -84 + 21x = 92 + -9x + 9x Combine like terms: -9x + 9x = 0 -84 + 21x = 92 + 0 -84 + 21x = 92 Add '84' to each side of the equation. -84 + 84 + 21x = 92 + 84 Combine like terms: -84 + 84 = 0 0 + 21x = 92 + 84 21x = 92 + 84 Combine like terms: 92 + 84 = 176 21x = 176 Divide each side by '21'. x = 8.380952381 Simplifying x = 8.380952381
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