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Simplifying 5(5x + 3) + 5(2x + 4) + 6 = 35x + 41 Reorder the terms: 5(3 + 5x) + 5(2x + 4) + 6 = 35x + 41 (3 * 5 + 5x * 5) + 5(2x + 4) + 6 = 35x + 41 (15 + 25x) + 5(2x + 4) + 6 = 35x + 41 Reorder the terms: 15 + 25x + 5(4 + 2x) + 6 = 35x + 41 15 + 25x + (4 * 5 + 2x * 5) + 6 = 35x + 41 15 + 25x + (20 + 10x) + 6 = 35x + 41 Reorder the terms: 15 + 20 + 6 + 25x + 10x = 35x + 41 Combine like terms: 15 + 20 = 35 35 + 6 + 25x + 10x = 35x + 41 Combine like terms: 35 + 6 = 41 41 + 25x + 10x = 35x + 41 Combine like terms: 25x + 10x = 35x 41 + 35x = 35x + 41 Reorder the terms: 41 + 35x = 41 + 35x Add '-41' to each side of the equation. 41 + -41 + 35x = 41 + -41 + 35x Combine like terms: 41 + -41 = 0 0 + 35x = 41 + -41 + 35x 35x = 41 + -41 + 35x Combine like terms: 41 + -41 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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