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Simplifying -5(-4x + -8) = 7x + -38 Reorder the terms: -5(-8 + -4x) = 7x + -38 (-8 * -5 + -4x * -5) = 7x + -38 (40 + 20x) = 7x + -38 Reorder the terms: 40 + 20x = -38 + 7x Solving 40 + 20x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 20x + -7x = -38 + 7x + -7x Combine like terms: 20x + -7x = 13x 40 + 13x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 13x = -38 + 0 40 + 13x = -38 Add '-40' to each side of the equation. 40 + -40 + 13x = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 13x = -38 + -40 13x = -38 + -40 Combine like terms: -38 + -40 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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