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Simplifying (8x + -0.5) + -0.25(8x + -0.5) = 0 Reorder the terms: (-0.5 + 8x) + -0.25(8x + -0.5) = 0 Remove parenthesis around (-0.5 + 8x) -0.5 + 8x + -0.25(8x + -0.5) = 0 Reorder the terms: -0.5 + 8x + -0.25(-0.5 + 8x) = 0 -0.5 + 8x + (-0.5 * -0.25 + 8x * -0.25) = 0 -0.5 + 8x + (0.125 + -2x) = 0 Reorder the terms: -0.5 + 0.125 + 8x + -2x = 0 Combine like terms: -0.5 + 0.125 = -0.375 -0.375 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -0.375 + 6x = 0 Solving -0.375 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + 6x = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + 6x = 0 + 0.375 6x = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 6x = 0.375 Divide each side by '6'. x = 0.0625 Simplifying x = 0.0625
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