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Simplifying 7x + 7 = -1(1 + x) Reorder the terms: 7 + 7x = -1(1 + x) 7 + 7x = (1 * -1 + x * -1) 7 + 7x = (-1 + -1x) Solving 7 + 7x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 7x + x = -1 + -1x + x Combine like terms: 7x + x = 8x 7 + 8x = -1 + -1x + x Combine like terms: -1x + x = 0 7 + 8x = -1 + 0 7 + 8x = -1 Add '-7' to each side of the equation. 7 + -7 + 8x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -1 + -7 8x = -1 + -7 Combine like terms: -1 + -7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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