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Simplifying 3(-8 + 2x) = -4(-5x + -1) (-8 * 3 + 2x * 3) = -4(-5x + -1) (-24 + 6x) = -4(-5x + -1) Reorder the terms: -24 + 6x = -4(-1 + -5x) -24 + 6x = (-1 * -4 + -5x * -4) -24 + 6x = (4 + 20x) Solving -24 + 6x = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + 6x + -20x = 4 + 20x + -20x Combine like terms: 6x + -20x = -14x -24 + -14x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -14x = 4 + 0 -24 + -14x = 4 Add '24' to each side of the equation. -24 + 24 + -14x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = 4 + 24 -14x = 4 + 24 Combine like terms: 4 + 24 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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