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Simplifying -90(x + 4) = -40(x + 9) Reorder the terms: -90(4 + x) = -40(x + 9) (4 * -90 + x * -90) = -40(x + 9) (-360 + -90x) = -40(x + 9) Reorder the terms: -360 + -90x = -40(9 + x) -360 + -90x = (9 * -40 + x * -40) -360 + -90x = (-360 + -40x) Add '360' to each side of the equation. -360 + 360 + -90x = -360 + 360 + -40x Combine like terms: -360 + 360 = 0 0 + -90x = -360 + 360 + -40x -90x = -360 + 360 + -40x Combine like terms: -360 + 360 = 0 -90x = 0 + -40x -90x = -40x Solving -90x = -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -90x + 40x = -40x + 40x Combine like terms: -90x + 40x = -50x -50x = -40x + 40x Combine like terms: -40x + 40x = 0 -50x = 0 Divide each side by '-50'. x = 0.0 Simplifying x = 0.0
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