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Simplifying -0.10(10) + 0.20x = 0.05(x + -2) Multiply -0.10 * 10 -1 + 0.20x = 0.05(x + -2) Reorder the terms: -1 + 0.20x = 0.05(-2 + x) -1 + 0.20x = (-2 * 0.05 + x * 0.05) -1 + 0.20x = (-0.1 + 0.05x) Solving -1 + 0.20x = -0.1 + 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. -1 + 0.20x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.20x + -0.05x = 0.15x -1 + 0.15x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1 + 0.15x = -0.1 + 0.00 -1 + 0.15x = -0.1 Add '1' to each side of the equation. -1 + 1 + 0.15x = -0.1 + 1 Combine like terms: -1 + 1 = 0 0 + 0.15x = -0.1 + 1 0.15x = -0.1 + 1 Combine like terms: -0.1 + 1 = 0.9 0.15x = 0.9 Divide each side by '0.15'. x = 6 Simplifying x = 6
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