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Simplifying 5x + -6 + 7x = 8 + -9x + 10 Reorder the terms: -6 + 5x + 7x = 8 + -9x + 10 Combine like terms: 5x + 7x = 12x -6 + 12x = 8 + -9x + 10 Reorder the terms: -6 + 12x = 8 + 10 + -9x Combine like terms: 8 + 10 = 18 -6 + 12x = 18 + -9x Solving -6 + 12x = 18 + -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. -6 + 12x + 9x = 18 + -9x + 9x Combine like terms: 12x + 9x = 21x -6 + 21x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 21x = 18 + 0 -6 + 21x = 18 Add '6' to each side of the equation. -6 + 6 + 21x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = 18 + 6 21x = 18 + 6 Combine like terms: 18 + 6 = 24 21x = 24 Divide each side by '21'. x = 1.142857143 Simplifying x = 1.142857143
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