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Simplifying -4(2x + 6) + -2(4x + 8) = 0 Reorder the terms: -4(6 + 2x) + -2(4x + 8) = 0 (6 * -4 + 2x * -4) + -2(4x + 8) = 0 (-24 + -8x) + -2(4x + 8) = 0 Reorder the terms: -24 + -8x + -2(8 + 4x) = 0 -24 + -8x + (8 * -2 + 4x * -2) = 0 -24 + -8x + (-16 + -8x) = 0 Reorder the terms: -24 + -16 + -8x + -8x = 0 Combine like terms: -24 + -16 = -40 -40 + -8x + -8x = 0 Combine like terms: -8x + -8x = -16x -40 + -16x = 0 Solving -40 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -16x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -16x = 0 + 40 -16x = 0 + 40 Combine like terms: 0 + 40 = 40 -16x = 40 Divide each side by '-16'. x = -2.5 Simplifying x = -2.5
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