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Simplifying 3x + 47 = 5x + 30 Reorder the terms: 47 + 3x = 5x + 30 Reorder the terms: 47 + 3x = 30 + 5x Solving 47 + 3x = 30 + 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. 47 + 3x + -5x = 30 + 5x + -5x Combine like terms: 3x + -5x = -2x 47 + -2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -2x = 30 + 0 47 + -2x = 30 Add '-47' to each side of the equation. 47 + -47 + -2x = 30 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 30 + -47 -2x = 30 + -47 Combine like terms: 30 + -47 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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