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Simplifying -0.10(20) + 0.25x = 0.05(x + -8) Multiply -0.10 * 20 -2 + 0.25x = 0.05(x + -8) Reorder the terms: -2 + 0.25x = 0.05(-8 + x) -2 + 0.25x = (-8 * 0.05 + x * 0.05) -2 + 0.25x = (-0.4 + 0.05x) Solving -2 + 0.25x = -0.4 + 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 + 0.25x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -2 + 0.2x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.2x = -0.4 + 0.00 -2 + 0.2x = -0.4 Add '2' to each side of the equation. -2 + 2 + 0.2x = -0.4 + 2 Combine like terms: -2 + 2 = 0 0 + 0.2x = -0.4 + 2 0.2x = -0.4 + 2 Combine like terms: -0.4 + 2 = 1.6 0.2x = 1.6 Divide each side by '0.2'. x = 8 Simplifying x = 8
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