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Simplifying 12x + 47 = 7x + 27 Reorder the terms: 47 + 12x = 7x + 27 Reorder the terms: 47 + 12x = 27 + 7x Solving 47 + 12x = 27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + 12x + -7x = 27 + 7x + -7x Combine like terms: 12x + -7x = 5x 47 + 5x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + 5x = 27 + 0 47 + 5x = 27 Add '-47' to each side of the equation. 47 + -47 + 5x = 27 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = 27 + -47 5x = 27 + -47 Combine like terms: 27 + -47 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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