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Simplifying (2x + 4) * 3 + -8(x + 2) = 0 Reorder the terms: (4 + 2x) * 3 + -8(x + 2) = 0 Reorder the terms for easier multiplication: 3(4 + 2x) + -8(x + 2) = 0 (4 * 3 + 2x * 3) + -8(x + 2) = 0 (12 + 6x) + -8(x + 2) = 0 Reorder the terms: 12 + 6x + -8(2 + x) = 0 12 + 6x + (2 * -8 + x * -8) = 0 12 + 6x + (-16 + -8x) = 0 Reorder the terms: 12 + -16 + 6x + -8x = 0 Combine like terms: 12 + -16 = -4 -4 + 6x + -8x = 0 Combine like terms: 6x + -8x = -2x -4 + -2x = 0 Solving -4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 0 + 4 -2x = 0 + 4 Combine like terms: 0 + 4 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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