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Simplifying -4(x + 3) + -2(4x + -8) = 16 Reorder the terms: -4(3 + x) + -2(4x + -8) = 16 (3 * -4 + x * -4) + -2(4x + -8) = 16 (-12 + -4x) + -2(4x + -8) = 16 Reorder the terms: -12 + -4x + -2(-8 + 4x) = 16 -12 + -4x + (-8 * -2 + 4x * -2) = 16 -12 + -4x + (16 + -8x) = 16 Reorder the terms: -12 + 16 + -4x + -8x = 16 Combine like terms: -12 + 16 = 4 4 + -4x + -8x = 16 Combine like terms: -4x + -8x = -12x 4 + -12x = 16 Solving 4 + -12x = 16 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 + -12x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 16 + -4 -12x = 16 + -4 Combine like terms: 16 + -4 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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