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Simplifying 4x + -1(1 + -1x) = -5(x + 1) + 4 4x + (1 * -1 + -1x * -1) = -5(x + 1) + 4 4x + (-1 + 1x) = -5(x + 1) + 4 Reorder the terms: -1 + 4x + 1x = -5(x + 1) + 4 Combine like terms: 4x + 1x = 5x -1 + 5x = -5(x + 1) + 4 Reorder the terms: -1 + 5x = -5(1 + x) + 4 -1 + 5x = (1 * -5 + x * -5) + 4 -1 + 5x = (-5 + -5x) + 4 Reorder the terms: -1 + 5x = -5 + 4 + -5x Combine like terms: -5 + 4 = -1 -1 + 5x = -1 + -5x Add '1' to each side of the equation. -1 + 1 + 5x = -1 + 1 + -5x Combine like terms: -1 + 1 = 0 0 + 5x = -1 + 1 + -5x 5x = -1 + 1 + -5x Combine like terms: -1 + 1 = 0 5x = 0 + -5x 5x = -5x Solving 5x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5x + 5x = -5x + 5x Combine like terms: 5x + 5x = 10x 10x = -5x + 5x Combine like terms: -5x + 5x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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