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Simplifying 5(-4x + -8) = -9(-6x + 4) + -4 Reorder the terms: 5(-8 + -4x) = -9(-6x + 4) + -4 (-8 * 5 + -4x * 5) = -9(-6x + 4) + -4 (-40 + -20x) = -9(-6x + 4) + -4 Reorder the terms: -40 + -20x = -9(4 + -6x) + -4 -40 + -20x = (4 * -9 + -6x * -9) + -4 -40 + -20x = (-36 + 54x) + -4 Reorder the terms: -40 + -20x = -36 + -4 + 54x Combine like terms: -36 + -4 = -40 -40 + -20x = -40 + 54x Add '40' to each side of the equation. -40 + 40 + -20x = -40 + 40 + 54x Combine like terms: -40 + 40 = 0 0 + -20x = -40 + 40 + 54x -20x = -40 + 40 + 54x Combine like terms: -40 + 40 = 0 -20x = 0 + 54x -20x = 54x Solving -20x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -20x + -54x = 54x + -54x Combine like terms: -20x + -54x = -74x -74x = 54x + -54x Combine like terms: 54x + -54x = 0 -74x = 0 Divide each side by '-74'. x = 0 Simplifying x = 0
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