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Simplifying 31x + 63 = 7(4x + 8) + 3x + 7 Reorder the terms: 63 + 31x = 7(4x + 8) + 3x + 7 Reorder the terms: 63 + 31x = 7(8 + 4x) + 3x + 7 63 + 31x = (8 * 7 + 4x * 7) + 3x + 7 63 + 31x = (56 + 28x) + 3x + 7 Reorder the terms: 63 + 31x = 56 + 7 + 28x + 3x Combine like terms: 56 + 7 = 63 63 + 31x = 63 + 28x + 3x Combine like terms: 28x + 3x = 31x 63 + 31x = 63 + 31x Add '-63' to each side of the equation. 63 + -63 + 31x = 63 + -63 + 31x Combine like terms: 63 + -63 = 0 0 + 31x = 63 + -63 + 31x 31x = 63 + -63 + 31x Combine like terms: 63 + -63 = 0 31x = 0 + 31x 31x = 31x Add '-31x' to each side of the equation. 31x + -31x = 31x + -31x Combine like terms: 31x + -31x = 0 0 = 31x + -31x Combine like terms: 31x + -31x = 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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