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Simplifying -41 + 2x = 3x + 61 + 5x Reorder the terms: -41 + 2x = 61 + 3x + 5x Combine like terms: 3x + 5x = 8x -41 + 2x = 61 + 8x Solving -41 + 2x = 61 + 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. -41 + 2x + -8x = 61 + 8x + -8x Combine like terms: 2x + -8x = -6x -41 + -6x = 61 + 8x + -8x Combine like terms: 8x + -8x = 0 -41 + -6x = 61 + 0 -41 + -6x = 61 Add '41' to each side of the equation. -41 + 41 + -6x = 61 + 41 Combine like terms: -41 + 41 = 0 0 + -6x = 61 + 41 -6x = 61 + 41 Combine like terms: 61 + 41 = 102 -6x = 102 Divide each side by '-6'. x = -17 Simplifying x = -17
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