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Simplifying 38x + 71 = 7(5x + 9) + 3x + 8 Reorder the terms: 71 + 38x = 7(5x + 9) + 3x + 8 Reorder the terms: 71 + 38x = 7(9 + 5x) + 3x + 8 71 + 38x = (9 * 7 + 5x * 7) + 3x + 8 71 + 38x = (63 + 35x) + 3x + 8 Reorder the terms: 71 + 38x = 63 + 8 + 35x + 3x Combine like terms: 63 + 8 = 71 71 + 38x = 71 + 35x + 3x Combine like terms: 35x + 3x = 38x 71 + 38x = 71 + 38x Add '-71' to each side of the equation. 71 + -71 + 38x = 71 + -71 + 38x Combine like terms: 71 + -71 = 0 0 + 38x = 71 + -71 + 38x 38x = 71 + -71 + 38x Combine like terms: 71 + -71 = 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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