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Simplifying 5(6x + -1) = 31x Reorder the terms: 5(-1 + 6x) = 31x (-1 * 5 + 6x * 5) = 31x (-5 + 30x) = 31x Solving -5 + 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. -5 + 30x + -31x = 31x + -31x Combine like terms: 30x + -31x = -1x -5 + -1x = 31x + -31x Combine like terms: 31x + -31x = 0 -5 + -1x = 0 Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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