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Simplifying 2(3x + 6) + 6(6x + 5) + 6 = 42x + 48 Reorder the terms: 2(6 + 3x) + 6(6x + 5) + 6 = 42x + 48 (6 * 2 + 3x * 2) + 6(6x + 5) + 6 = 42x + 48 (12 + 6x) + 6(6x + 5) + 6 = 42x + 48 Reorder the terms: 12 + 6x + 6(5 + 6x) + 6 = 42x + 48 12 + 6x + (5 * 6 + 6x * 6) + 6 = 42x + 48 12 + 6x + (30 + 36x) + 6 = 42x + 48 Reorder the terms: 12 + 30 + 6 + 6x + 36x = 42x + 48 Combine like terms: 12 + 30 = 42 42 + 6 + 6x + 36x = 42x + 48 Combine like terms: 42 + 6 = 48 48 + 6x + 36x = 42x + 48 Combine like terms: 6x + 36x = 42x 48 + 42x = 42x + 48 Reorder the terms: 48 + 42x = 48 + 42x Add '-48' to each side of the equation. 48 + -48 + 42x = 48 + -48 + 42x Combine like terms: 48 + -48 = 0 0 + 42x = 48 + -48 + 42x 42x = 48 + -48 + 42x Combine like terms: 48 + -48 = 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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