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Simplifying 31x + -12 = 4(6x + -5) + 7x + 8 Reorder the terms: -12 + 31x = 4(6x + -5) + 7x + 8 Reorder the terms: -12 + 31x = 4(-5 + 6x) + 7x + 8 -12 + 31x = (-5 * 4 + 6x * 4) + 7x + 8 -12 + 31x = (-20 + 24x) + 7x + 8 Reorder the terms: -12 + 31x = -20 + 8 + 24x + 7x Combine like terms: -20 + 8 = -12 -12 + 31x = -12 + 24x + 7x Combine like terms: 24x + 7x = 31x -12 + 31x = -12 + 31x Add '12' to each side of the equation. -12 + 12 + 31x = -12 + 12 + 31x Combine like terms: -12 + 12 = 0 0 + 31x = -12 + 12 + 31x 31x = -12 + 12 + 31x Combine like terms: -12 + 12 = 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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