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