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Simplifying 6(5x + -1) = 31x Reorder the terms: 6(-1 + 5x) = 31x (-1 * 6 + 5x * 6) = 31x (-6 + 30x) = 31x Solving -6 + 30x = 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -6 + 30x + -31x = 31x + -31x Combine like terms: 30x + -31x = -1x -6 + -1x = 31x + -31x Combine like terms: 31x + -31x = 0 -6 + -1x = 0 Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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