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Simplifying -0.1(30) + 0.3x = 0.05(x + -20) Multiply -0.1 * 30 -3 + 0.3x = 0.05(x + -20) Reorder the terms: -3 + 0.3x = 0.05(-20 + x) -3 + 0.3x = (-20 * 0.05 + x * 0.05) -3 + 0.3x = (-1 + 0.05x) Solving -3 + 0.3x = -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 + 0.3x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.3x + -0.05x = 0.25x -3 + 0.25x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3 + 0.25x = -1 + 0.00 -3 + 0.25x = -1 Add '3' to each side of the equation. -3 + 3 + 0.25x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 0.25x = -1 + 3 0.25x = -1 + 3 Combine like terms: -1 + 3 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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