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Simplifying 6(1 + -6x) + -1(5x + 1) = 46x (1 * 6 + -6x * 6) + -1(5x + 1) = 46x (6 + -36x) + -1(5x + 1) = 46x Reorder the terms: 6 + -36x + -1(1 + 5x) = 46x 6 + -36x + (1 * -1 + 5x * -1) = 46x 6 + -36x + (-1 + -5x) = 46x Reorder the terms: 6 + -1 + -36x + -5x = 46x Combine like terms: 6 + -1 = 5 5 + -36x + -5x = 46x Combine like terms: -36x + -5x = -41x 5 + -41x = 46x Solving 5 + -41x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 5 + -41x + -46x = 46x + -46x Combine like terms: -41x + -46x = -87x 5 + -87x = 46x + -46x Combine like terms: 46x + -46x = 0 5 + -87x = 0 Add '-5' to each side of the equation. 5 + -5 + -87x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -87x = 0 + -5 -87x = 0 + -5 Combine like terms: 0 + -5 = -5 -87x = -5 Divide each side by '-87'. x = 0.05747126437 Simplifying x = 0.05747126437
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