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Simplifying 27x + 12 = 4(6x + 2) + 3x + 4 Reorder the terms: 12 + 27x = 4(6x + 2) + 3x + 4 Reorder the terms: 12 + 27x = 4(2 + 6x) + 3x + 4 12 + 27x = (2 * 4 + 6x * 4) + 3x + 4 12 + 27x = (8 + 24x) + 3x + 4 Reorder the terms: 12 + 27x = 8 + 4 + 24x + 3x Combine like terms: 8 + 4 = 12 12 + 27x = 12 + 24x + 3x Combine like terms: 24x + 3x = 27x 12 + 27x = 12 + 27x Add '-12' to each side of the equation. 12 + -12 + 27x = 12 + -12 + 27x Combine like terms: 12 + -12 = 0 0 + 27x = 12 + -12 + 27x 27x = 12 + -12 + 27x Combine like terms: 12 + -12 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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