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Simplifying -17x + 15 + 6x + -23 = 10 + -8x Reorder the terms: 15 + -23 + -17x + 6x = 10 + -8x Combine like terms: 15 + -23 = -8 -8 + -17x + 6x = 10 + -8x Combine like terms: -17x + 6x = -11x -8 + -11x = 10 + -8x Solving -8 + -11x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -11x + 8x = 10 + -8x + 8x Combine like terms: -11x + 8x = -3x -8 + -3x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -3x = 10 + 0 -8 + -3x = 10 Add '8' to each side of the equation. -8 + 8 + -3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 10 + 8 -3x = 10 + 8 Combine like terms: 10 + 8 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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