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Simplifying 10x + -6 = 8x + 9x + 6 Reorder the terms: -6 + 10x = 8x + 9x + 6 Reorder the terms: -6 + 10x = 6 + 8x + 9x Combine like terms: 8x + 9x = 17x -6 + 10x = 6 + 17x Solving -6 + 10x = 6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -6 + 10x + -17x = 6 + 17x + -17x Combine like terms: 10x + -17x = -7x -6 + -7x = 6 + 17x + -17x Combine like terms: 17x + -17x = 0 -6 + -7x = 6 + 0 -6 + -7x = 6 Add '6' to each side of the equation. -6 + 6 + -7x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 6 + 6 -7x = 6 + 6 Combine like terms: 6 + 6 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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