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Simplifying 6(5x + 3) + 6(5x + 4) + 6 = 60x + 48 Reorder the terms: 6(3 + 5x) + 6(5x + 4) + 6 = 60x + 48 (3 * 6 + 5x * 6) + 6(5x + 4) + 6 = 60x + 48 (18 + 30x) + 6(5x + 4) + 6 = 60x + 48 Reorder the terms: 18 + 30x + 6(4 + 5x) + 6 = 60x + 48 18 + 30x + (4 * 6 + 5x * 6) + 6 = 60x + 48 18 + 30x + (24 + 30x) + 6 = 60x + 48 Reorder the terms: 18 + 24 + 6 + 30x + 30x = 60x + 48 Combine like terms: 18 + 24 = 42 42 + 6 + 30x + 30x = 60x + 48 Combine like terms: 42 + 6 = 48 48 + 30x + 30x = 60x + 48 Combine like terms: 30x + 30x = 60x 48 + 60x = 60x + 48 Reorder the terms: 48 + 60x = 48 + 60x Add '-48' to each side of the equation. 48 + -48 + 60x = 48 + -48 + 60x Combine like terms: 48 + -48 = 0 0 + 60x = 48 + -48 + 60x 60x = 48 + -48 + 60x Combine like terms: 48 + -48 = 0 60x = 0 + 60x 60x = 60x Add '-60x' to each side of the equation. 60x + -60x = 60x + -60x Combine like terms: 60x + -60x = 0 0 = 60x + -60x Combine like terms: 60x + -60x = 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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