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Simplifying 3x + 47 = 8x + 13 Reorder the terms: 47 + 3x = 8x + 13 Reorder the terms: 47 + 3x = 13 + 8x Solving 47 + 3x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 47 + 3x + -8x = 13 + 8x + -8x Combine like terms: 3x + -8x = -5x 47 + -5x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 47 + -5x = 13 + 0 47 + -5x = 13 Add '-47' to each side of the equation. 47 + -47 + -5x = 13 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 13 + -47 -5x = 13 + -47 Combine like terms: 13 + -47 = -34 -5x = -34 Divide each side by '-5'. x = 6.8 Simplifying x = 6.8
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