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