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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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