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