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Simplifying 7x + -1(x + -1) = x + (3x + -1) Reorder the terms: 7x + -1(-1 + x) = x + (3x + -1) 7x + (-1 * -1 + x * -1) = x + (3x + -1) 7x + (1 + -1x) = x + (3x + -1) Reorder the terms: 1 + 7x + -1x = x + (3x + -1) Combine like terms: 7x + -1x = 6x 1 + 6x = x + (3x + -1) Reorder the terms: 1 + 6x = x + (-1 + 3x) Remove parenthesis around (-1 + 3x) 1 + 6x = x + -1 + 3x Reorder the terms: 1 + 6x = -1 + x + 3x Combine like terms: x + 3x = 4x 1 + 6x = -1 + 4x Solving 1 + 6x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 6x + -4x = -1 + 4x + -4x Combine like terms: 6x + -4x = 2x 1 + 2x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 2x = -1 + 0 1 + 2x = -1 Add '-1' to each side of the equation. 1 + -1 + 2x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -1 + -1 2x = -1 + -1 Combine like terms: -1 + -1 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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