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Simplifying 3 + 13x + -8 = 9x + 41 + -6x Reorder the terms: 3 + -8 + 13x = 9x + 41 + -6x Combine like terms: 3 + -8 = -5 -5 + 13x = 9x + 41 + -6x Reorder the terms: -5 + 13x = 41 + 9x + -6x Combine like terms: 9x + -6x = 3x -5 + 13x = 41 + 3x Solving -5 + 13x = 41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 13x + -3x = 41 + 3x + -3x Combine like terms: 13x + -3x = 10x -5 + 10x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 10x = 41 + 0 -5 + 10x = 41 Add '5' to each side of the equation. -5 + 5 + 10x = 41 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 41 + 5 10x = 41 + 5 Combine like terms: 41 + 5 = 46 10x = 46 Divide each side by '10'. x = 4.6 Simplifying x = 4.6
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