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Simplifying -8(2x + 4) + 5x = 12 Reorder the terms: -8(4 + 2x) + 5x = 12 (4 * -8 + 2x * -8) + 5x = 12 (-32 + -16x) + 5x = 12 Combine like terms: -16x + 5x = -11x -32 + -11x = 12 Solving -32 + -11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -11x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -11x = 12 + 32 -11x = 12 + 32 Combine like terms: 12 + 32 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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