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Simplifying 5(-4x + -5) = -7x + 27 Reorder the terms: 5(-5 + -4x) = -7x + 27 (-5 * 5 + -4x * 5) = -7x + 27 (-25 + -20x) = -7x + 27 Reorder the terms: -25 + -20x = 27 + -7x Solving -25 + -20x = 27 + -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. -25 + -20x + 7x = 27 + -7x + 7x Combine like terms: -20x + 7x = -13x -25 + -13x = 27 + -7x + 7x Combine like terms: -7x + 7x = 0 -25 + -13x = 27 + 0 -25 + -13x = 27 Add '25' to each side of the equation. -25 + 25 + -13x = 27 + 25 Combine like terms: -25 + 25 = 0 0 + -13x = 27 + 25 -13x = 27 + 25 Combine like terms: 27 + 25 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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