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Simplifying -5(x + 1) = -4 + -7x Reorder the terms: -5(1 + x) = -4 + -7x (1 * -5 + x * -5) = -4 + -7x (-5 + -5x) = -4 + -7x Solving -5 + -5x = -4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + -5x + 7x = -4 + -7x + 7x Combine like terms: -5x + 7x = 2x -5 + 2x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 2x = -4 + 0 -5 + 2x = -4 Add '5' to each side of the equation. -5 + 5 + 2x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -4 + 5 2x = -4 + 5 Combine like terms: -4 + 5 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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