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Simplifying 24x + 61 = 7(3x + 8) + 3x + 5 Reorder the terms: 61 + 24x = 7(3x + 8) + 3x + 5 Reorder the terms: 61 + 24x = 7(8 + 3x) + 3x + 5 61 + 24x = (8 * 7 + 3x * 7) + 3x + 5 61 + 24x = (56 + 21x) + 3x + 5 Reorder the terms: 61 + 24x = 56 + 5 + 21x + 3x Combine like terms: 56 + 5 = 61 61 + 24x = 61 + 21x + 3x Combine like terms: 21x + 3x = 24x 61 + 24x = 61 + 24x Add '-61' to each side of the equation. 61 + -61 + 24x = 61 + -61 + 24x Combine like terms: 61 + -61 = 0 0 + 24x = 61 + -61 + 24x 24x = 61 + -61 + 24x Combine like terms: 61 + -61 = 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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