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Simplifying 4(5x + 6) + 3(6x + 6) + 4 = 38x + 46 Reorder the terms: 4(6 + 5x) + 3(6x + 6) + 4 = 38x + 46 (6 * 4 + 5x * 4) + 3(6x + 6) + 4 = 38x + 46 (24 + 20x) + 3(6x + 6) + 4 = 38x + 46 Reorder the terms: 24 + 20x + 3(6 + 6x) + 4 = 38x + 46 24 + 20x + (6 * 3 + 6x * 3) + 4 = 38x + 46 24 + 20x + (18 + 18x) + 4 = 38x + 46 Reorder the terms: 24 + 18 + 4 + 20x + 18x = 38x + 46 Combine like terms: 24 + 18 = 42 42 + 4 + 20x + 18x = 38x + 46 Combine like terms: 42 + 4 = 46 46 + 20x + 18x = 38x + 46 Combine like terms: 20x + 18x = 38x 46 + 38x = 38x + 46 Reorder the terms: 46 + 38x = 46 + 38x Add '-46' to each side of the equation. 46 + -46 + 38x = 46 + -46 + 38x Combine like terms: 46 + -46 = 0 0 + 38x = 46 + -46 + 38x 38x = 46 + -46 + 38x Combine like terms: 46 + -46 = 0 38x = 0 + 38x 38x = 38x Add '-38x' to each side of the equation. 38x + -38x = 38x + -38x Combine like terms: 38x + -38x = 0 0 = 38x + -38x Combine like terms: 38x + -38x = 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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