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Simplifying 2(6x + 6) + 4(3x + 6) + 6 = 24x + 42 Reorder the terms: 2(6 + 6x) + 4(3x + 6) + 6 = 24x + 42 (6 * 2 + 6x * 2) + 4(3x + 6) + 6 = 24x + 42 (12 + 12x) + 4(3x + 6) + 6 = 24x + 42 Reorder the terms: 12 + 12x + 4(6 + 3x) + 6 = 24x + 42 12 + 12x + (6 * 4 + 3x * 4) + 6 = 24x + 42 12 + 12x + (24 + 12x) + 6 = 24x + 42 Reorder the terms: 12 + 24 + 6 + 12x + 12x = 24x + 42 Combine like terms: 12 + 24 = 36 36 + 6 + 12x + 12x = 24x + 42 Combine like terms: 36 + 6 = 42 42 + 12x + 12x = 24x + 42 Combine like terms: 12x + 12x = 24x 42 + 24x = 24x + 42 Reorder the terms: 42 + 24x = 42 + 24x Add '-42' to each side of the equation. 42 + -42 + 24x = 42 + -42 + 24x Combine like terms: 42 + -42 = 0 0 + 24x = 42 + -42 + 24x 24x = 42 + -42 + 24x Combine like terms: 42 + -42 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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