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Simplifying -9(5 + -4x) + -1(3x + 5) = 49 (5 * -9 + -4x * -9) + -1(3x + 5) = 49 (-45 + 36x) + -1(3x + 5) = 49 Reorder the terms: -45 + 36x + -1(5 + 3x) = 49 -45 + 36x + (5 * -1 + 3x * -1) = 49 -45 + 36x + (-5 + -3x) = 49 Reorder the terms: -45 + -5 + 36x + -3x = 49 Combine like terms: -45 + -5 = -50 -50 + 36x + -3x = 49 Combine like terms: 36x + -3x = 33x -50 + 33x = 49 Solving -50 + 33x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 33x = 49 + 50 Combine like terms: -50 + 50 = 0 0 + 33x = 49 + 50 33x = 49 + 50 Combine like terms: 49 + 50 = 99 33x = 99 Divide each side by '33'. x = 3 Simplifying x = 3
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