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Simplifying 5(6x + 5) + 2(4x + 6) + 6 = 38x + 43 Reorder the terms: 5(5 + 6x) + 2(4x + 6) + 6 = 38x + 43 (5 * 5 + 6x * 5) + 2(4x + 6) + 6 = 38x + 43 (25 + 30x) + 2(4x + 6) + 6 = 38x + 43 Reorder the terms: 25 + 30x + 2(6 + 4x) + 6 = 38x + 43 25 + 30x + (6 * 2 + 4x * 2) + 6 = 38x + 43 25 + 30x + (12 + 8x) + 6 = 38x + 43 Reorder the terms: 25 + 12 + 6 + 30x + 8x = 38x + 43 Combine like terms: 25 + 12 = 37 37 + 6 + 30x + 8x = 38x + 43 Combine like terms: 37 + 6 = 43 43 + 30x + 8x = 38x + 43 Combine like terms: 30x + 8x = 38x 43 + 38x = 38x + 43 Reorder the terms: 43 + 38x = 43 + 38x Add '-43' to each side of the equation. 43 + -43 + 38x = 43 + -43 + 38x Combine like terms: 43 + -43 = 0 0 + 38x = 43 + -43 + 38x 38x = 43 + -43 + 38x Combine like terms: 43 + -43 = 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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