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Simplifying 43x + -42 = 7x + 6(6x + -7) Reorder the terms: -42 + 43x = 7x + 6(6x + -7) Reorder the terms: -42 + 43x = 7x + 6(-7 + 6x) -42 + 43x = 7x + (-7 * 6 + 6x * 6) -42 + 43x = 7x + (-42 + 36x) Reorder the terms: -42 + 43x = -42 + 7x + 36x Combine like terms: 7x + 36x = 43x -42 + 43x = -42 + 43x Add '42' to each side of the equation. -42 + 42 + 43x = -42 + 42 + 43x Combine like terms: -42 + 42 = 0 0 + 43x = -42 + 42 + 43x 43x = -42 + 42 + 43x Combine like terms: -42 + 42 = 0 43x = 0 + 43x 43x = 43x Add '-43x' to each side of the equation. 43x + -43x = 43x + -43x Combine like terms: 43x + -43x = 0 0 = 43x + -43x Combine like terms: 43x + -43x = 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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