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Simplifying 31x + 14 = 4(7x + 4) + 3x + -2 Reorder the terms: 14 + 31x = 4(7x + 4) + 3x + -2 Reorder the terms: 14 + 31x = 4(4 + 7x) + 3x + -2 14 + 31x = (4 * 4 + 7x * 4) + 3x + -2 14 + 31x = (16 + 28x) + 3x + -2 Reorder the terms: 14 + 31x = 16 + -2 + 28x + 3x Combine like terms: 16 + -2 = 14 14 + 31x = 14 + 28x + 3x Combine like terms: 28x + 3x = 31x 14 + 31x = 14 + 31x Add '-14' to each side of the equation. 14 + -14 + 31x = 14 + -14 + 31x Combine like terms: 14 + -14 = 0 0 + 31x = 14 + -14 + 31x 31x = 14 + -14 + 31x Combine like terms: 14 + -14 = 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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