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