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Simplifying 24x + 49 = 7(3x + 8) + 3x + -7 Reorder the terms: 49 + 24x = 7(3x + 8) + 3x + -7 Reorder the terms: 49 + 24x = 7(8 + 3x) + 3x + -7 49 + 24x = (8 * 7 + 3x * 7) + 3x + -7 49 + 24x = (56 + 21x) + 3x + -7 Reorder the terms: 49 + 24x = 56 + -7 + 21x + 3x Combine like terms: 56 + -7 = 49 49 + 24x = 49 + 21x + 3x Combine like terms: 21x + 3x = 24x 49 + 24x = 49 + 24x Add '-49' to each side of the equation. 49 + -49 + 24x = 49 + -49 + 24x Combine like terms: 49 + -49 = 0 0 + 24x = 49 + -49 + 24x 24x = 49 + -49 + 24x Combine like terms: 49 + -49 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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