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Simplifying x + 1 = -47 + -7x Reorder the terms: 1 + x = -47 + -7x Solving 1 + x = -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 + x + 7x = -47 + -7x + 7x Combine like terms: x + 7x = 8x 1 + 8x = -47 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 8x = -47 + 0 1 + 8x = -47 Add '-1' to each side of the equation. 1 + -1 + 8x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -47 + -1 8x = -47 + -1 Combine like terms: -47 + -1 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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