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