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Simplifying 31x + -9 = 6(4x + -2) + 7x + 3 Reorder the terms: -9 + 31x = 6(4x + -2) + 7x + 3 Reorder the terms: -9 + 31x = 6(-2 + 4x) + 7x + 3 -9 + 31x = (-2 * 6 + 4x * 6) + 7x + 3 -9 + 31x = (-12 + 24x) + 7x + 3 Reorder the terms: -9 + 31x = -12 + 3 + 24x + 7x Combine like terms: -12 + 3 = -9 -9 + 31x = -9 + 24x + 7x Combine like terms: 24x + 7x = 31x -9 + 31x = -9 + 31x Add '9' to each side of the equation. -9 + 9 + 31x = -9 + 9 + 31x Combine like terms: -9 + 9 = 0 0 + 31x = -9 + 9 + 31x 31x = -9 + 9 + 31x Combine like terms: -9 + 9 = 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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