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Simplifying 21x + -43 = 7(2x + -5) + 7x + -8 Reorder the terms: -43 + 21x = 7(2x + -5) + 7x + -8 Reorder the terms: -43 + 21x = 7(-5 + 2x) + 7x + -8 -43 + 21x = (-5 * 7 + 2x * 7) + 7x + -8 -43 + 21x = (-35 + 14x) + 7x + -8 Reorder the terms: -43 + 21x = -35 + -8 + 14x + 7x Combine like terms: -35 + -8 = -43 -43 + 21x = -43 + 14x + 7x Combine like terms: 14x + 7x = 21x -43 + 21x = -43 + 21x Add '43' to each side of the equation. -43 + 43 + 21x = -43 + 43 + 21x Combine like terms: -43 + 43 = 0 0 + 21x = -43 + 43 + 21x 21x = -43 + 43 + 21x Combine like terms: -43 + 43 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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