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Simplifying 4(5 + x) = 5(4x + -1) + -23 (5 * 4 + x * 4) = 5(4x + -1) + -23 (20 + 4x) = 5(4x + -1) + -23 Reorder the terms: 20 + 4x = 5(-1 + 4x) + -23 20 + 4x = (-1 * 5 + 4x * 5) + -23 20 + 4x = (-5 + 20x) + -23 Reorder the terms: 20 + 4x = -5 + -23 + 20x Combine like terms: -5 + -23 = -28 20 + 4x = -28 + 20x Solving 20 + 4x = -28 + 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 = -28 + 20x + -20x Combine like terms: 4x + -20x = -16x 20 + -16x = -28 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -16x = -28 + 0 20 + -16x = -28 Add '-20' to each side of the equation. 20 + -20 + -16x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = -28 + -20 -16x = -28 + -20 Combine like terms: -28 + -20 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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