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Simplifying 3x + 8 = 9 + -1x + 1 Reorder the terms: 8 + 3x = 9 + -1x + 1 Reorder the terms: 8 + 3x = 9 + 1 + -1x Combine like terms: 9 + 1 = 10 8 + 3x = 10 + -1x Solving 8 + 3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 3x + x = 10 + -1x + x Combine like terms: 3x + x = 4x 8 + 4x = 10 + -1x + x Combine like terms: -1x + x = 0 8 + 4x = 10 + 0 8 + 4x = 10 Add '-8' to each side of the equation. 8 + -8 + 4x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 10 + -8 4x = 10 + -8 Combine like terms: 10 + -8 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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