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Simplifying 45x + 46 = 6(7x + 7) + 3x + 4 Reorder the terms: 46 + 45x = 6(7x + 7) + 3x + 4 Reorder the terms: 46 + 45x = 6(7 + 7x) + 3x + 4 46 + 45x = (7 * 6 + 7x * 6) + 3x + 4 46 + 45x = (42 + 42x) + 3x + 4 Reorder the terms: 46 + 45x = 42 + 4 + 42x + 3x Combine like terms: 42 + 4 = 46 46 + 45x = 46 + 42x + 3x Combine like terms: 42x + 3x = 45x 46 + 45x = 46 + 45x Add '-46' to each side of the equation. 46 + -46 + 45x = 46 + -46 + 45x Combine like terms: 46 + -46 = 0 0 + 45x = 46 + -46 + 45x 45x = 46 + -46 + 45x Combine like terms: 46 + -46 = 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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