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Simplifying 4x + 41 + -6x = 1 + -8x + 4 Reorder the terms: 41 + 4x + -6x = 1 + -8x + 4 Combine like terms: 4x + -6x = -2x 41 + -2x = 1 + -8x + 4 Reorder the terms: 41 + -2x = 1 + 4 + -8x Combine like terms: 1 + 4 = 5 41 + -2x = 5 + -8x Solving 41 + -2x = 5 + -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 = 5 + -8x + 8x Combine like terms: -2x + 8x = 6x 41 + 6x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 41 + 6x = 5 + 0 41 + 6x = 5 Add '-41' to each side of the equation. 41 + -41 + 6x = 5 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 5 + -41 6x = 5 + -41 Combine like terms: 5 + -41 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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