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Simplifying 7(x + 1) = x + -1 Reorder the terms: 7(1 + x) = x + -1 (1 * 7 + x * 7) = x + -1 (7 + 7x) = x + -1 Reorder the terms: 7 + 7x = -1 + x Solving 7 + 7x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 7x + -1x = -1 + x + -1x Combine like terms: 7x + -1x = 6x 7 + 6x = -1 + x + -1x Combine like terms: x + -1x = 0 7 + 6x = -1 + 0 7 + 6x = -1 Add '-7' to each side of the equation. 7 + -7 + 6x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -1 + -7 6x = -1 + -7 Combine like terms: -1 + -7 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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