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Simplifying 8 + 13x + -1 = 8x + 31 + -3x Reorder the terms: 8 + -1 + 13x = 8x + 31 + -3x Combine like terms: 8 + -1 = 7 7 + 13x = 8x + 31 + -3x Reorder the terms: 7 + 13x = 31 + 8x + -3x Combine like terms: 8x + -3x = 5x 7 + 13x = 31 + 5x Solving 7 + 13x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 13x + -5x = 31 + 5x + -5x Combine like terms: 13x + -5x = 8x 7 + 8x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 8x = 31 + 0 7 + 8x = 31 Add '-7' to each side of the equation. 7 + -7 + 8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 31 + -7 8x = 31 + -7 Combine like terms: 31 + -7 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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