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Simplifying -0.10(20) + 0.20x = 0.05(x + -10) Multiply -0.10 * 20 -2 + 0.20x = 0.05(x + -10) Reorder the terms: -2 + 0.20x = 0.05(-10 + x) -2 + 0.20x = (-10 * 0.05 + x * 0.05) -2 + 0.20x = (-0.5 + 0.05x) Solving -2 + 0.20x = -0.5 + 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. -2 + 0.20x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.20x + -0.05x = 0.15x -2 + 0.15x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.15x = -0.5 + 0.00 -2 + 0.15x = -0.5 Add '2' to each side of the equation. -2 + 2 + 0.15x = -0.5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.15x = -0.5 + 2 0.15x = -0.5 + 2 Combine like terms: -0.5 + 2 = 1.5 0.15x = 1.5 Divide each side by '0.15'. x = 10 Simplifying x = 10
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