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Simplifying 9 + 13x + -8 = 9x + 41 + -6x Reorder the terms: 9 + -8 + 13x = 9x + 41 + -6x Combine like terms: 9 + -8 = 1 1 + 13x = 9x + 41 + -6x Reorder the terms: 1 + 13x = 41 + 9x + -6x Combine like terms: 9x + -6x = 3x 1 + 13x = 41 + 3x Solving 1 + 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. 1 + 13x + -3x = 41 + 3x + -3x Combine like terms: 13x + -3x = 10x 1 + 10x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 10x = 41 + 0 1 + 10x = 41 Add '-1' to each side of the equation. 1 + -1 + 10x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 41 + -1 10x = 41 + -1 Combine like terms: 41 + -1 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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