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Simplifying 45x + 13 = 6(7x + 2) + 3x + 1 Reorder the terms: 13 + 45x = 6(7x + 2) + 3x + 1 Reorder the terms: 13 + 45x = 6(2 + 7x) + 3x + 1 13 + 45x = (2 * 6 + 7x * 6) + 3x + 1 13 + 45x = (12 + 42x) + 3x + 1 Reorder the terms: 13 + 45x = 12 + 1 + 42x + 3x Combine like terms: 12 + 1 = 13 13 + 45x = 13 + 42x + 3x Combine like terms: 42x + 3x = 45x 13 + 45x = 13 + 45x Add '-13' to each side of the equation. 13 + -13 + 45x = 13 + -13 + 45x Combine like terms: 13 + -13 = 0 0 + 45x = 13 + -13 + 45x 45x = 13 + -13 + 45x Combine like terms: 13 + -13 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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