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Simplifying (0.4 + 5.6x)(-0.1) = 0 Reorder the terms for easier multiplication: -0.1(0.4 + 5.6x) = 0 (0.4 * -0.1 + 5.6x * -0.1) = 0 (-0.04 + -0.56x) = 0 Solving -0.04 + -0.56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.56x = 0 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.56x = 0 + 0.04 -0.56x = 0 + 0.04 Combine like terms: 0 + 0.04 = 0.04 -0.56x = 0.04 Divide each side by '-0.56'. x = -0.07142857143 Simplifying x = -0.07142857143
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