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Simplifying 38 + -6x = 4(-8 + -5x) 38 + -6x = (-8 * 4 + -5x * 4) 38 + -6x = (-32 + -20x) Solving 38 + -6x = -32 + -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 = -32 + -20x + 20x Combine like terms: -6x + 20x = 14x 38 + 14x = -32 + -20x + 20x Combine like terms: -20x + 20x = 0 38 + 14x = -32 + 0 38 + 14x = -32 Add '-38' to each side of the equation. 38 + -38 + 14x = -32 + -38 Combine like terms: 38 + -38 = 0 0 + 14x = -32 + -38 14x = -32 + -38 Combine like terms: -32 + -38 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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