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Simplifying -9(4 + -1x) + -1(1 + 7x) = -25 (4 * -9 + -1x * -9) + -1(1 + 7x) = -25 (-36 + 9x) + -1(1 + 7x) = -25 -36 + 9x + (1 * -1 + 7x * -1) = -25 -36 + 9x + (-1 + -7x) = -25 Reorder the terms: -36 + -1 + 9x + -7x = -25 Combine like terms: -36 + -1 = -37 -37 + 9x + -7x = -25 Combine like terms: 9x + -7x = 2x -37 + 2x = -25 Solving -37 + 2x = -25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 2x = -25 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = -25 + 37 2x = -25 + 37 Combine like terms: -25 + 37 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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