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Simplifying -5 + -4x = -7(x + -1) Reorder the terms: -5 + -4x = -7(-1 + x) -5 + -4x = (-1 * -7 + x * -7) -5 + -4x = (7 + -7x) Solving -5 + -4x = 7 + -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 + -4x + 7x = 7 + -7x + 7x Combine like terms: -4x + 7x = 3x -5 + 3x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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