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Simplifying 4x + 41 + -5x = 2 + -8x + 4 Reorder the terms: 41 + 4x + -5x = 2 + -8x + 4 Combine like terms: 4x + -5x = -1x 41 + -1x = 2 + -8x + 4 Reorder the terms: 41 + -1x = 2 + 4 + -8x Combine like terms: 2 + 4 = 6 41 + -1x = 6 + -8x Solving 41 + -1x = 6 + -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 + -1x + 8x = 6 + -8x + 8x Combine like terms: -1x + 8x = 7x 41 + 7x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 41 + 7x = 6 + 0 41 + 7x = 6 Add '-41' to each side of the equation. 41 + -41 + 7x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + 7x = 6 + -41 7x = 6 + -41 Combine like terms: 6 + -41 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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