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Simplifying 8x + 1 = 5x + 12 Reorder the terms: 1 + 8x = 5x + 12 Reorder the terms: 1 + 8x = 12 + 5x Solving 1 + 8x = 12 + 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. 1 + 8x + -5x = 12 + 5x + -5x Combine like terms: 8x + -5x = 3x 1 + 3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 3x = 12 + 0 1 + 3x = 12 Add '-1' to each side of the equation. 1 + -1 + 3x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 12 + -1 3x = 12 + -1 Combine like terms: 12 + -1 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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