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Simplifying 4(x + -9) + -1(3x + 5) = -2 Reorder the terms: 4(-9 + x) + -1(3x + 5) = -2 (-9 * 4 + x * 4) + -1(3x + 5) = -2 (-36 + 4x) + -1(3x + 5) = -2 Reorder the terms: -36 + 4x + -1(5 + 3x) = -2 -36 + 4x + (5 * -1 + 3x * -1) = -2 -36 + 4x + (-5 + -3x) = -2 Reorder the terms: -36 + -5 + 4x + -3x = -2 Combine like terms: -36 + -5 = -41 -41 + 4x + -3x = -2 Combine like terms: 4x + -3x = 1x -41 + 1x = -2 Solving -41 + 1x = -2 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 + 41 + 1x = -2 + 41 Combine like terms: -41 + 41 = 0 0 + 1x = -2 + 41 1x = -2 + 41 Combine like terms: -2 + 41 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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