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Simplifying 3(7x + 12) + -15 = 7(3x + -1) + 28 Reorder the terms: 3(12 + 7x) + -15 = 7(3x + -1) + 28 (12 * 3 + 7x * 3) + -15 = 7(3x + -1) + 28 (36 + 21x) + -15 = 7(3x + -1) + 28 Reorder the terms: 36 + -15 + 21x = 7(3x + -1) + 28 Combine like terms: 36 + -15 = 21 21 + 21x = 7(3x + -1) + 28 Reorder the terms: 21 + 21x = 7(-1 + 3x) + 28 21 + 21x = (-1 * 7 + 3x * 7) + 28 21 + 21x = (-7 + 21x) + 28 Reorder the terms: 21 + 21x = -7 + 28 + 21x Combine like terms: -7 + 28 = 21 21 + 21x = 21 + 21x Add '-21' to each side of the equation. 21 + -21 + 21x = 21 + -21 + 21x Combine like terms: 21 + -21 = 0 0 + 21x = 21 + -21 + 21x 21x = 21 + -21 + 21x Combine like terms: 21 + -21 = 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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