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Simplifying 38 + 6x = -5(-2 + -4x) 38 + 6x = (-2 * -5 + -4x * -5) 38 + 6x = (10 + 20x) Solving 38 + 6x = 10 + 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 = 10 + 20x + -20x Combine like terms: 6x + -20x = -14x 38 + -14x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 38 + -14x = 10 + 0 38 + -14x = 10 Add '-38' to each side of the equation. 38 + -38 + -14x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -14x = 10 + -38 -14x = 10 + -38 Combine like terms: 10 + -38 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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