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Simplifying -5(1 + -5x) + 5(6x + 1) = 43 (1 * -5 + -5x * -5) + 5(6x + 1) = 43 (-5 + 25x) + 5(6x + 1) = 43 Reorder the terms: -5 + 25x + 5(1 + 6x) = 43 -5 + 25x + (1 * 5 + 6x * 5) = 43 -5 + 25x + (5 + 30x) = 43 Reorder the terms: -5 + 5 + 25x + 30x = 43 Combine like terms: -5 + 5 = 0 0 + 25x + 30x = 43 25x + 30x = 43 Combine like terms: 25x + 30x = 55x 55x = 43 Solving 55x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '55'. x = 0.7818181818 Simplifying x = 0.7818181818
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