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Simplifying -8(0.01x + 0.4) + -0.9 = -0.1 Reorder the terms: -8(0.4 + 0.01x) + -0.9 = -0.1 (0.4 * -8 + 0.01x * -8) + -0.9 = -0.1 (-3.2 + -0.08x) + -0.9 = -0.1 Reorder the terms: -3.2 + -0.9 + -0.08x = -0.1 Combine like terms: -3.2 + -0.9 = -4.1 -4.1 + -0.08x = -0.1 Solving -4.1 + -0.08x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.1' to each side of the equation. -4.1 + 4.1 + -0.08x = -0.1 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -0.08x = -0.1 + 4.1 -0.08x = -0.1 + 4.1 Combine like terms: -0.1 + 4.1 = 4 -0.08x = 4 Divide each side by '-0.08'. x = -50 Simplifying x = -50
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