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Simplifying 5(6x + -5) = 1 + -1x Reorder the terms: 5(-5 + 6x) = 1 + -1x (-5 * 5 + 6x * 5) = 1 + -1x (-25 + 30x) = 1 + -1x Solving -25 + 30x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 30x + x = 1 + -1x + x Combine like terms: 30x + x = 31x -25 + 31x = 1 + -1x + x Combine like terms: -1x + x = 0 -25 + 31x = 1 + 0 -25 + 31x = 1 Add '25' to each side of the equation. -25 + 25 + 31x = 1 + 25 Combine like terms: -25 + 25 = 0 0 + 31x = 1 + 25 31x = 1 + 25 Combine like terms: 1 + 25 = 26 31x = 26 Divide each side by '31'. x = 0.8387096774 Simplifying x = 0.8387096774
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