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Simplifying 5(4x + 6) = 12x + 7 + 8x + 23 Reorder the terms: 5(6 + 4x) = 12x + 7 + 8x + 23 (6 * 5 + 4x * 5) = 12x + 7 + 8x + 23 (30 + 20x) = 12x + 7 + 8x + 23 Reorder the terms: 30 + 20x = 7 + 23 + 12x + 8x Combine like terms: 7 + 23 = 30 30 + 20x = 30 + 12x + 8x Combine like terms: 12x + 8x = 20x 30 + 20x = 30 + 20x Add '-30' to each side of the equation. 30 + -30 + 20x = 30 + -30 + 20x Combine like terms: 30 + -30 = 0 0 + 20x = 30 + -30 + 20x 20x = 30 + -30 + 20x Combine like terms: 30 + -30 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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