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Simplifying 8 + -5x + 1 = 3x + 1 Reorder the terms: 8 + 1 + -5x = 3x + 1 Combine like terms: 8 + 1 = 9 9 + -5x = 3x + 1 Reorder the terms: 9 + -5x = 1 + 3x Solving 9 + -5x = 1 + 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. 9 + -5x + -3x = 1 + 3x + -3x Combine like terms: -5x + -3x = -8x 9 + -8x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -8x = 1 + 0 9 + -8x = 1 Add '-9' to each side of the equation. 9 + -9 + -8x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 1 + -9 -8x = 1 + -9 Combine like terms: 1 + -9 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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