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Simplifying 4(5 + x) = 5(4x + -1) + -71 (5 * 4 + x * 4) = 5(4x + -1) + -71 (20 + 4x) = 5(4x + -1) + -71 Reorder the terms: 20 + 4x = 5(-1 + 4x) + -71 20 + 4x = (-1 * 5 + 4x * 5) + -71 20 + 4x = (-5 + 20x) + -71 Reorder the terms: 20 + 4x = -5 + -71 + 20x Combine like terms: -5 + -71 = -76 20 + 4x = -76 + 20x Solving 20 + 4x = -76 + 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. 20 + 4x + -20x = -76 + 20x + -20x Combine like terms: 4x + -20x = -16x 20 + -16x = -76 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -16x = -76 + 0 20 + -16x = -76 Add '-20' to each side of the equation. 20 + -20 + -16x = -76 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = -76 + -20 -16x = -76 + -20 Combine like terms: -76 + -20 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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