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Simplifying 2(x + -8) + 0.5(8 + 8x) = 0 Reorder the terms: 2(-8 + x) + 0.5(8 + 8x) = 0 (-8 * 2 + x * 2) + 0.5(8 + 8x) = 0 (-16 + 2x) + 0.5(8 + 8x) = 0 -16 + 2x + (8 * 0.5 + 8x * 0.5) = 0 -16 + 2x + (4 + 4x) = 0 Reorder the terms: -16 + 4 + 2x + 4x = 0 Combine like terms: -16 + 4 = -12 -12 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -12 + 6x = 0 Solving -12 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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