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Simplifying 4(3 + -8x) + -1(5 + -1x) = 7 + -31x (3 * 4 + -8x * 4) + -1(5 + -1x) = 7 + -31x (12 + -32x) + -1(5 + -1x) = 7 + -31x 12 + -32x + (5 * -1 + -1x * -1) = 7 + -31x 12 + -32x + (-5 + 1x) = 7 + -31x Reorder the terms: 12 + -5 + -32x + 1x = 7 + -31x Combine like terms: 12 + -5 = 7 7 + -32x + 1x = 7 + -31x Combine like terms: -32x + 1x = -31x 7 + -31x = 7 + -31x Add '-7' to each side of the equation. 7 + -7 + -31x = 7 + -7 + -31x Combine like terms: 7 + -7 = 0 0 + -31x = 7 + -7 + -31x -31x = 7 + -7 + -31x Combine like terms: 7 + -7 = 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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