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Simplifying 4(2x + 4) + 4(5x + 5) + 5 = 28x + 42 Reorder the terms: 4(4 + 2x) + 4(5x + 5) + 5 = 28x + 42 (4 * 4 + 2x * 4) + 4(5x + 5) + 5 = 28x + 42 (16 + 8x) + 4(5x + 5) + 5 = 28x + 42 Reorder the terms: 16 + 8x + 4(5 + 5x) + 5 = 28x + 42 16 + 8x + (5 * 4 + 5x * 4) + 5 = 28x + 42 16 + 8x + (20 + 20x) + 5 = 28x + 42 Reorder the terms: 16 + 20 + 5 + 8x + 20x = 28x + 42 Combine like terms: 16 + 20 = 36 36 + 5 + 8x + 20x = 28x + 42 Combine like terms: 36 + 5 = 41 41 + 8x + 20x = 28x + 42 Combine like terms: 8x + 20x = 28x 41 + 28x = 28x + 42 Reorder the terms: 41 + 28x = 42 + 28x Add '-28x' to each side of the equation. 41 + 28x + -28x = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 41 + 0 = 42 + 28x + -28x 41 = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 41 = 42 + 0 41 = 42 Solving 41 = 42 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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