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Simplifying 5x + 11 = -7x + 47 Reorder the terms: 11 + 5x = -7x + 47 Reorder the terms: 11 + 5x = 47 + -7x Solving 11 + 5x = 47 + -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. 11 + 5x + 7x = 47 + -7x + 7x Combine like terms: 5x + 7x = 12x 11 + 12x = 47 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 12x = 47 + 0 11 + 12x = 47 Add '-11' to each side of the equation. 11 + -11 + 12x = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 47 + -11 12x = 47 + -11 Combine like terms: 47 + -11 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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