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