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Simplifying -3(5x + 4) = 32 + -4x Reorder the terms: -3(4 + 5x) = 32 + -4x (4 * -3 + 5x * -3) = 32 + -4x (-12 + -15x) = 32 + -4x Solving -12 + -15x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + -15x + 4x = 32 + -4x + 4x Combine like terms: -15x + 4x = -11x -12 + -11x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -11x = 32 + 0 -12 + -11x = 32 Add '12' to each side of the equation. -12 + 12 + -11x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 32 + 12 -11x = 32 + 12 Combine like terms: 32 + 12 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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