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Simplifying 5(6 + 4x) + -4 = -38 + 4x (6 * 5 + 4x * 5) + -4 = -38 + 4x (30 + 20x) + -4 = -38 + 4x Reorder the terms: 30 + -4 + 20x = -38 + 4x Combine like terms: 30 + -4 = 26 26 + 20x = -38 + 4x Solving 26 + 20x = -38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 26 + 20x + -4x = -38 + 4x + -4x Combine like terms: 20x + -4x = 16x 26 + 16x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + 16x = -38 + 0 26 + 16x = -38 Add '-26' to each side of the equation. 26 + -26 + 16x = -38 + -26 Combine like terms: 26 + -26 = 0 0 + 16x = -38 + -26 16x = -38 + -26 Combine like terms: -38 + -26 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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