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Simplifying 5(-4x + -2) = -8x + 38 Reorder the terms: 5(-2 + -4x) = -8x + 38 (-2 * 5 + -4x * 5) = -8x + 38 (-10 + -20x) = -8x + 38 Reorder the terms: -10 + -20x = 38 + -8x Solving -10 + -20x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -20x + 8x = 38 + -8x + 8x Combine like terms: -20x + 8x = -12x -10 + -12x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + -12x = 38 + 0 -10 + -12x = 38 Add '10' to each side of the equation. -10 + 10 + -12x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 38 + 10 -12x = 38 + 10 Combine like terms: 38 + 10 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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