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Simplifying 5(2x + 2) + 4(5x + 6) + 6 = 30x + 41 Reorder the terms: 5(2 + 2x) + 4(5x + 6) + 6 = 30x + 41 (2 * 5 + 2x * 5) + 4(5x + 6) + 6 = 30x + 41 (10 + 10x) + 4(5x + 6) + 6 = 30x + 41 Reorder the terms: 10 + 10x + 4(6 + 5x) + 6 = 30x + 41 10 + 10x + (6 * 4 + 5x * 4) + 6 = 30x + 41 10 + 10x + (24 + 20x) + 6 = 30x + 41 Reorder the terms: 10 + 24 + 6 + 10x + 20x = 30x + 41 Combine like terms: 10 + 24 = 34 34 + 6 + 10x + 20x = 30x + 41 Combine like terms: 34 + 6 = 40 40 + 10x + 20x = 30x + 41 Combine like terms: 10x + 20x = 30x 40 + 30x = 30x + 41 Reorder the terms: 40 + 30x = 41 + 30x Add '-30x' to each side of the equation. 40 + 30x + -30x = 41 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + 0 = 41 + 30x + -30x 40 = 41 + 30x + -30x Combine like terms: 30x + -30x = 0 40 = 41 + 0 40 = 41 Solving 40 = 41 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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