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Simplifying 7x = -5 + -1(1 + -4x) 7x = -5 + (1 * -1 + -4x * -1) 7x = -5 + (-1 + 4x) Combine like terms: -5 + -1 = -6 7x = -6 + 4x Solving 7x = -6 + 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. 7x + -4x = -6 + 4x + -4x Combine like terms: 7x + -4x = 3x 3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 3x = -6 + 0 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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