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Simplifying 6x + 8 = 3x + 47 Reorder the terms: 8 + 6x = 3x + 47 Reorder the terms: 8 + 6x = 47 + 3x Solving 8 + 6x = 47 + 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. 8 + 6x + -3x = 47 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = 47 + 0 8 + 3x = 47 Add '-8' to each side of the equation. 8 + -8 + 3x = 47 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 47 + -8 3x = 47 + -8 Combine like terms: 47 + -8 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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