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Simplifying -4(x + 4) + 2(6x + 4) = -64 Reorder the terms: -4(4 + x) + 2(6x + 4) = -64 (4 * -4 + x * -4) + 2(6x + 4) = -64 (-16 + -4x) + 2(6x + 4) = -64 Reorder the terms: -16 + -4x + 2(4 + 6x) = -64 -16 + -4x + (4 * 2 + 6x * 2) = -64 -16 + -4x + (8 + 12x) = -64 Reorder the terms: -16 + 8 + -4x + 12x = -64 Combine like terms: -16 + 8 = -8 -8 + -4x + 12x = -64 Combine like terms: -4x + 12x = 8x -8 + 8x = -64 Solving -8 + 8x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8x = -64 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -64 + 8 8x = -64 + 8 Combine like terms: -64 + 8 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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