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Simplifying -41 + -8x + 19 = -32x + 86 + 15x Reorder the terms: -41 + 19 + -8x = -32x + 86 + 15x Combine like terms: -41 + 19 = -22 -22 + -8x = -32x + 86 + 15x Reorder the terms: -22 + -8x = 86 + -32x + 15x Combine like terms: -32x + 15x = -17x -22 + -8x = 86 + -17x Solving -22 + -8x = 86 + -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. -22 + -8x + 17x = 86 + -17x + 17x Combine like terms: -8x + 17x = 9x -22 + 9x = 86 + -17x + 17x Combine like terms: -17x + 17x = 0 -22 + 9x = 86 + 0 -22 + 9x = 86 Add '22' to each side of the equation. -22 + 22 + 9x = 86 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 86 + 22 9x = 86 + 22 Combine like terms: 86 + 22 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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