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Simplifying 7x + 47 = 2x + 12 Reorder the terms: 47 + 7x = 2x + 12 Reorder the terms: 47 + 7x = 12 + 2x Solving 47 + 7x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 47 + 7x + -2x = 12 + 2x + -2x Combine like terms: 7x + -2x = 5x 47 + 5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + 5x = 12 + 0 47 + 5x = 12 Add '-47' to each side of the equation. 47 + -47 + 5x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = 12 + -47 5x = 12 + -47 Combine like terms: 12 + -47 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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