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Simplifying -4(1 + -6x) + -4x = 6x + 38 (1 * -4 + -6x * -4) + -4x = 6x + 38 (-4 + 24x) + -4x = 6x + 38 Combine like terms: 24x + -4x = 20x -4 + 20x = 6x + 38 Reorder the terms: -4 + 20x = 38 + 6x Solving -4 + 20x = 38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 20x + -6x = 38 + 6x + -6x Combine like terms: 20x + -6x = 14x -4 + 14x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 14x = 38 + 0 -4 + 14x = 38 Add '4' to each side of the equation. -4 + 4 + 14x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 38 + 4 14x = 38 + 4 Combine like terms: 38 + 4 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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