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Simplifying -5(4x + 1) = -4x + 27 Reorder the terms: -5(1 + 4x) = -4x + 27 (1 * -5 + 4x * -5) = -4x + 27 (-5 + -20x) = -4x + 27 Reorder the terms: -5 + -20x = 27 + -4x Solving -5 + -20x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + -20x + 4x = 27 + -4x + 4x Combine like terms: -20x + 4x = -16x -5 + -16x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + -16x = 27 + 0 -5 + -16x = 27 Add '5' to each side of the equation. -5 + 5 + -16x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = 27 + 5 -16x = 27 + 5 Combine like terms: 27 + 5 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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