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Simplifying 7(2x + -5) + -1(5(7x + -2) + -2(5x + -7)) = -72 Reorder the terms: 7(-5 + 2x) + -1(5(7x + -2) + -2(5x + -7)) = -72 (-5 * 7 + 2x * 7) + -1(5(7x + -2) + -2(5x + -7)) = -72 (-35 + 14x) + -1(5(7x + -2) + -2(5x + -7)) = -72 Reorder the terms: -35 + 14x + -1(5(-2 + 7x) + -2(5x + -7)) = -72 -35 + 14x + -1((-2 * 5 + 7x * 5) + -2(5x + -7)) = -72 -35 + 14x + -1((-10 + 35x) + -2(5x + -7)) = -72 Reorder the terms: -35 + 14x + -1(-10 + 35x + -2(-7 + 5x)) = -72 -35 + 14x + -1(-10 + 35x + (-7 * -2 + 5x * -2)) = -72 -35 + 14x + -1(-10 + 35x + (14 + -10x)) = -72 Reorder the terms: -35 + 14x + -1(-10 + 14 + 35x + -10x) = -72 Combine like terms: -10 + 14 = 4 -35 + 14x + -1(4 + 35x + -10x) = -72 Combine like terms: 35x + -10x = 25x -35 + 14x + -1(4 + 25x) = -72 -35 + 14x + (4 * -1 + 25x * -1) = -72 -35 + 14x + (-4 + -25x) = -72 Reorder the terms: -35 + -4 + 14x + -25x = -72 Combine like terms: -35 + -4 = -39 -39 + 14x + -25x = -72 Combine like terms: 14x + -25x = -11x -39 + -11x = -72 Solving -39 + -11x = -72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -11x = -72 + 39 Combine like terms: -39 + 39 = 0 0 + -11x = -72 + 39 -11x = -72 + 39 Combine like terms: -72 + 39 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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