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Simplifying x + 47 = 6x + 2 Reorder the terms: 47 + x = 6x + 2 Reorder the terms: 47 + x = 2 + 6x Solving 47 + x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 47 + x + -6x = 2 + 6x + -6x Combine like terms: x + -6x = -5x 47 + -5x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + -5x = 2 + 0 47 + -5x = 2 Add '-47' to each side of the equation. 47 + -47 + -5x = 2 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 2 + -47 -5x = 2 + -47 Combine like terms: 2 + -47 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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