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Simplifying -6x + -40(x + 2) = -9(5x + 4) Reorder the terms: -6x + -40(2 + x) = -9(5x + 4) -6x + (2 * -40 + x * -40) = -9(5x + 4) -6x + (-80 + -40x) = -9(5x + 4) Reorder the terms: -80 + -6x + -40x = -9(5x + 4) Combine like terms: -6x + -40x = -46x -80 + -46x = -9(5x + 4) Reorder the terms: -80 + -46x = -9(4 + 5x) -80 + -46x = (4 * -9 + 5x * -9) -80 + -46x = (-36 + -45x) Solving -80 + -46x = -36 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -80 + -46x + 45x = -36 + -45x + 45x Combine like terms: -46x + 45x = -1x -80 + -1x = -36 + -45x + 45x Combine like terms: -45x + 45x = 0 -80 + -1x = -36 + 0 -80 + -1x = -36 Add '80' to each side of the equation. -80 + 80 + -1x = -36 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = -36 + 80 -1x = -36 + 80 Combine like terms: -36 + 80 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44
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