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Simplifying 25(-40 + 5x) = 30x + 1 (-40 * 25 + 5x * 25) = 30x + 1 (-1000 + 125x) = 30x + 1 Reorder the terms: -1000 + 125x = 1 + 30x Solving -1000 + 125x = 1 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -1000 + 125x + -30x = 1 + 30x + -30x Combine like terms: 125x + -30x = 95x -1000 + 95x = 1 + 30x + -30x Combine like terms: 30x + -30x = 0 -1000 + 95x = 1 + 0 -1000 + 95x = 1 Add '1000' to each side of the equation. -1000 + 1000 + 95x = 1 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 95x = 1 + 1000 95x = 1 + 1000 Combine like terms: 1 + 1000 = 1001 95x = 1001 Divide each side by '95'. x = 10.53684211 Simplifying x = 10.53684211
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