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Simplifying -38 + -6x = 4(1 + -5x) -38 + -6x = (1 * 4 + -5x * 4) -38 + -6x = (4 + -20x) Solving -38 + -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. -38 + -6x + 20x = 4 + -20x + 20x Combine like terms: -6x + 20x = 14x -38 + 14x = 4 + -20x + 20x Combine like terms: -20x + 20x = 0 -38 + 14x = 4 + 0 -38 + 14x = 4 Add '38' to each side of the equation. -38 + 38 + 14x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 4 + 38 14x = 4 + 38 Combine like terms: 4 + 38 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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