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Simplifying -8(0.02x + 0.5) + -2.6 = 0.02 Reorder the terms: -8(0.5 + 0.02x) + -2.6 = 0.02 (0.5 * -8 + 0.02x * -8) + -2.6 = 0.02 (-4 + -0.16x) + -2.6 = 0.02 Reorder the terms: -4 + -2.6 + -0.16x = 0.02 Combine like terms: -4 + -2.6 = -6.6 -6.6 + -0.16x = 0.02 Solving -6.6 + -0.16x = 0.02 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.6' to each side of the equation. -6.6 + 6.6 + -0.16x = 0.02 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + -0.16x = 0.02 + 6.6 -0.16x = 0.02 + 6.6 Combine like terms: 0.02 + 6.6 = 6.62 -0.16x = 6.62 Divide each side by '-0.16'. x = -41.375 Simplifying x = -41.375
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