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Simplifying 40(x + -6) = 32(3x + -6) Reorder the terms: 40(-6 + x) = 32(3x + -6) (-6 * 40 + x * 40) = 32(3x + -6) (-240 + 40x) = 32(3x + -6) Reorder the terms: -240 + 40x = 32(-6 + 3x) -240 + 40x = (-6 * 32 + 3x * 32) -240 + 40x = (-192 + 96x) Solving -240 + 40x = -192 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -240 + 40x + -96x = -192 + 96x + -96x Combine like terms: 40x + -96x = -56x -240 + -56x = -192 + 96x + -96x Combine like terms: 96x + -96x = 0 -240 + -56x = -192 + 0 -240 + -56x = -192 Add '240' to each side of the equation. -240 + 240 + -56x = -192 + 240 Combine like terms: -240 + 240 = 0 0 + -56x = -192 + 240 -56x = -192 + 240 Combine like terms: -192 + 240 = 48 -56x = 48 Divide each side by '-56'. x = -0.8571428571 Simplifying x = -0.8571428571
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