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Simplifying -32(-12x + 19) = 8(5x + -401) Reorder the terms: -32(19 + -12x) = 8(5x + -401) (19 * -32 + -12x * -32) = 8(5x + -401) (-608 + 384x) = 8(5x + -401) Reorder the terms: -608 + 384x = 8(-401 + 5x) -608 + 384x = (-401 * 8 + 5x * 8) -608 + 384x = (-3208 + 40x) Solving -608 + 384x = -3208 + 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. -608 + 384x + -40x = -3208 + 40x + -40x Combine like terms: 384x + -40x = 344x -608 + 344x = -3208 + 40x + -40x Combine like terms: 40x + -40x = 0 -608 + 344x = -3208 + 0 -608 + 344x = -3208 Add '608' to each side of the equation. -608 + 608 + 344x = -3208 + 608 Combine like terms: -608 + 608 = 0 0 + 344x = -3208 + 608 344x = -3208 + 608 Combine like terms: -3208 + 608 = -2600 344x = -2600 Divide each side by '344'. x = -7.558139535 Simplifying x = -7.558139535
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