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Simplifying 0.02(x + -6) = 100 Reorder the terms: 0.02(-6 + x) = 100 (-6 * 0.02 + x * 0.02) = 100 (-0.12 + 0.02x) = 100 Solving -0.12 + 0.02x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.02x = 100 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.02x = 100 + 0.12 0.02x = 100 + 0.12 Combine like terms: 100 + 0.12 = 100.12 0.02x = 100.12 Divide each side by '0.02'. x = 5006 Simplifying x = 5006
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