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Simplifying 10x + -15 = 9x + 6 + -17 Reorder the terms: -15 + 10x = 9x + 6 + -17 Reorder the terms: -15 + 10x = 6 + -17 + 9x Combine like terms: 6 + -17 = -11 -15 + 10x = -11 + 9x Solving -15 + 10x = -11 + 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. -15 + 10x + -9x = -11 + 9x + -9x Combine like terms: 10x + -9x = 1x -15 + 1x = -11 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 1x = -11 + 0 -15 + 1x = -11 Add '15' to each side of the equation. -15 + 15 + 1x = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -11 + 15 1x = -11 + 15 Combine like terms: -11 + 15 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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