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Simplifying 9(5x + -8) + -4(11x + -16) = 2 Reorder the terms: 9(-8 + 5x) + -4(11x + -16) = 2 (-8 * 9 + 5x * 9) + -4(11x + -16) = 2 (-72 + 45x) + -4(11x + -16) = 2 Reorder the terms: -72 + 45x + -4(-16 + 11x) = 2 -72 + 45x + (-16 * -4 + 11x * -4) = 2 -72 + 45x + (64 + -44x) = 2 Reorder the terms: -72 + 64 + 45x + -44x = 2 Combine like terms: -72 + 64 = -8 -8 + 45x + -44x = 2 Combine like terms: 45x + -44x = 1x -8 + 1x = 2 Solving -8 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 2 + 8 1x = 2 + 8 Combine like terms: 2 + 8 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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