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Simplifying 2(3x + 4) + 6(6x + 5) + 6 = 42x + 44 Reorder the terms: 2(4 + 3x) + 6(6x + 5) + 6 = 42x + 44 (4 * 2 + 3x * 2) + 6(6x + 5) + 6 = 42x + 44 (8 + 6x) + 6(6x + 5) + 6 = 42x + 44 Reorder the terms: 8 + 6x + 6(5 + 6x) + 6 = 42x + 44 8 + 6x + (5 * 6 + 6x * 6) + 6 = 42x + 44 8 + 6x + (30 + 36x) + 6 = 42x + 44 Reorder the terms: 8 + 30 + 6 + 6x + 36x = 42x + 44 Combine like terms: 8 + 30 = 38 38 + 6 + 6x + 36x = 42x + 44 Combine like terms: 38 + 6 = 44 44 + 6x + 36x = 42x + 44 Combine like terms: 6x + 36x = 42x 44 + 42x = 42x + 44 Reorder the terms: 44 + 42x = 44 + 42x Add '-44' to each side of the equation. 44 + -44 + 42x = 44 + -44 + 42x Combine like terms: 44 + -44 = 0 0 + 42x = 44 + -44 + 42x 42x = 44 + -44 + 42x Combine like terms: 44 + -44 = 0 42x = 0 + 42x 42x = 42x Add '-42x' to each side of the equation. 42x + -42x = 42x + -42x Combine like terms: 42x + -42x = 0 0 = 42x + -42x Combine like terms: 42x + -42x = 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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