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Simplifying 5(3x + 4) + 2(5x + 6) + 6 = 25x + 38 Reorder the terms: 5(4 + 3x) + 2(5x + 6) + 6 = 25x + 38 (4 * 5 + 3x * 5) + 2(5x + 6) + 6 = 25x + 38 (20 + 15x) + 2(5x + 6) + 6 = 25x + 38 Reorder the terms: 20 + 15x + 2(6 + 5x) + 6 = 25x + 38 20 + 15x + (6 * 2 + 5x * 2) + 6 = 25x + 38 20 + 15x + (12 + 10x) + 6 = 25x + 38 Reorder the terms: 20 + 12 + 6 + 15x + 10x = 25x + 38 Combine like terms: 20 + 12 = 32 32 + 6 + 15x + 10x = 25x + 38 Combine like terms: 32 + 6 = 38 38 + 15x + 10x = 25x + 38 Combine like terms: 15x + 10x = 25x 38 + 25x = 25x + 38 Reorder the terms: 38 + 25x = 38 + 25x Add '-38' to each side of the equation. 38 + -38 + 25x = 38 + -38 + 25x Combine like terms: 38 + -38 = 0 0 + 25x = 38 + -38 + 25x 25x = 38 + -38 + 25x Combine like terms: 38 + -38 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 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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