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Simplifying -4(X + 5) + 7(7x + -3) = 0 Reorder the terms: -4(5 + X) + 7(7x + -3) = 0 (5 * -4 + X * -4) + 7(7x + -3) = 0 (-20 + -4X) + 7(7x + -3) = 0 Reorder the terms: -20 + -4X + 7(-3 + 7x) = 0 -20 + -4X + (-3 * 7 + 7x * 7) = 0 -20 + -4X + (-21 + 49x) = 0 Reorder the terms: -20 + -21 + -4X + 49x = 0 Combine like terms: -20 + -21 = -41 -41 + -4X + 49x = 0 Solving -41 + -4X + 49x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '41' to each side of the equation. -41 + -4X + 41 + 49x = 0 + 41 Reorder the terms: -41 + 41 + -4X + 49x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -4X + 49x = 0 + 41 -4X + 49x = 0 + 41 Combine like terms: 0 + 41 = 41 -4X + 49x = 41 Add '-49x' to each side of the equation. -4X + 49x + -49x = 41 + -49x Combine like terms: 49x + -49x = 0 -4X + 0 = 41 + -49x -4X = 41 + -49x Divide each side by '-4'. X = -10.25 + 12.25x Simplifying X = -10.25 + 12.25x
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