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Simplifying 9x + -3(25x + -6) + -1(9x + x + -1) = 0 Reorder the terms: 9x + -3(-6 + 25x) + -1(9x + x + -1) = 0 9x + (-6 * -3 + 25x * -3) + -1(9x + x + -1) = 0 9x + (18 + -75x) + -1(9x + x + -1) = 0 Reorder the terms: 9x + 18 + -75x + -1(-1 + 9x + x) = 0 Combine like terms: 9x + x = 10x 9x + 18 + -75x + -1(-1 + 10x) = 0 9x + 18 + -75x + (-1 * -1 + 10x * -1) = 0 9x + 18 + -75x + (1 + -10x) = 0 Reorder the terms: 18 + 1 + 9x + -75x + -10x = 0 Combine like terms: 18 + 1 = 19 19 + 9x + -75x + -10x = 0 Combine like terms: 9x + -75x = -66x 19 + -66x + -10x = 0 Combine like terms: -66x + -10x = -76x 19 + -76x = 0 Solving 19 + -76x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -76x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -76x = 0 + -19 -76x = 0 + -19 Combine like terms: 0 + -19 = -19 -76x = -19 Divide each side by '-76'. x = 0.25 Simplifying x = 0.25
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