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Simplifying 2x(-4) + 0.5(2 + 8x) = 0 Reorder the terms for easier multiplication: 2 * -4x + 0.5(2 + 8x) = 0 Multiply 2 * -4 -8x + 0.5(2 + 8x) = 0 -8x + (2 * 0.5 + 8x * 0.5) = 0 -8x + (1 + 4x) = 0 Reorder the terms: 1 + -8x + 4x = 0 Combine like terms: -8x + 4x = -4x 1 + -4x = 0 Solving 1 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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