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Simplifying -1(4 + -4x) + -7x = -5(x + 6) (4 * -1 + -4x * -1) + -7x = -5(x + 6) (-4 + 4x) + -7x = -5(x + 6) Combine like terms: 4x + -7x = -3x -4 + -3x = -5(x + 6) Reorder the terms: -4 + -3x = -5(6 + x) -4 + -3x = (6 * -5 + x * -5) -4 + -3x = (-30 + -5x) Solving -4 + -3x = -30 + -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 + -3x + 5x = -30 + -5x + 5x Combine like terms: -3x + 5x = 2x -4 + 2x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 2x = -30 + 0 -4 + 2x = -30 Add '4' to each side of the equation. -4 + 4 + 2x = -30 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -30 + 4 2x = -30 + 4 Combine like terms: -30 + 4 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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