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Simplifying 5x + 1 = -7x + -47 Reorder the terms: 1 + 5x = -7x + -47 Reorder the terms: 1 + 5x = -47 + -7x Solving 1 + 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. 1 + 5x + 7x = -47 + -7x + 7x Combine like terms: 5x + 7x = 12x 1 + 12x = -47 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 12x = -47 + 0 1 + 12x = -47 Add '-1' to each side of the equation. 1 + -1 + 12x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = -47 + -1 12x = -47 + -1 Combine like terms: -47 + -1 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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