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Simplifying -0.10(40) + 0.55 = 0.05(x + -20) Multiply -0.10 * 40 -4 + 0.55 = 0.05(x + -20) Combine like terms: -4 + 0.55 = -3.45 -3.45 = 0.05(x + -20) Reorder the terms: -3.45 = 0.05(-20 + x) -3.45 = (-20 * 0.05 + x * 0.05) -3.45 = (-1 + 0.05x) Solving -3.45 = -1 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -3.45 + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.45 + -0.05x = -1 + 0.00 -3.45 + -0.05x = -1 Add '3.45' to each side of the equation. -3.45 + 3.45 + -0.05x = -1 + 3.45 Combine like terms: -3.45 + 3.45 = 0.00 0.00 + -0.05x = -1 + 3.45 -0.05x = -1 + 3.45 Combine like terms: -1 + 3.45 = 2.45 -0.05x = 2.45 Divide each side by '-0.05'. x = -49 Simplifying x = -49
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