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