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Simplifying 3x + 8 = 5x + 1 Reorder the terms: 8 + 3x = 5x + 1 Reorder the terms: 8 + 3x = 1 + 5x Solving 8 + 3x = 1 + 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. 8 + 3x + -5x = 1 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = 1 + 0 8 + -2x = 1 Add '-8' to each side of the equation. 8 + -8 + -2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 1 + -8 -2x = 1 + -8 Combine like terms: 1 + -8 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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