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Simplifying 2(6x + -8) + -4(x + 8) = 0 Reorder the terms: 2(-8 + 6x) + -4(x + 8) = 0 (-8 * 2 + 6x * 2) + -4(x + 8) = 0 (-16 + 12x) + -4(x + 8) = 0 Reorder the terms: -16 + 12x + -4(8 + x) = 0 -16 + 12x + (8 * -4 + x * -4) = 0 -16 + 12x + (-32 + -4x) = 0 Reorder the terms: -16 + -32 + 12x + -4x = 0 Combine like terms: -16 + -32 = -48 -48 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x -48 + 8x = 0 Solving -48 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 8x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = 0 + 48 8x = 0 + 48 Combine like terms: 0 + 48 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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