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Simplifying 0.05(7 + -1x) + 0.01 = 0.56 (7 * 0.05 + -1x * 0.05) + 0.01 = 0.56 (0.35 + -0.05x) + 0.01 = 0.56 Reorder the terms: 0.35 + 0.01 + -0.05x = 0.56 Combine like terms: 0.35 + 0.01 = 0.36 0.36 + -0.05x = 0.56 Solving 0.36 + -0.05x = 0.56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.36' to each side of the equation. 0.36 + -0.36 + -0.05x = 0.56 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.05x = 0.56 + -0.36 -0.05x = 0.56 + -0.36 Combine like terms: 0.56 + -0.36 = 0.2 -0.05x = 0.2 Divide each side by '-0.05'. x = -4 Simplifying x = -4
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