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Simplifying -0.10(13) + 0.20x = 0.05(x + -20) Multiply -0.10 * 13 -1.3 + 0.20x = 0.05(x + -20) Reorder the terms: -1.3 + 0.20x = 0.05(-20 + x) -1.3 + 0.20x = (-20 * 0.05 + x * 0.05) -1.3 + 0.20x = (-1 + 0.05x) Solving -1.3 + 0.20x = -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. -1.3 + 0.20x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.20x + -0.05x = 0.15x -1.3 + 0.15x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.3 + 0.15x = -1 + 0.00 -1.3 + 0.15x = -1 Add '1.3' to each side of the equation. -1.3 + 1.3 + 0.15x = -1 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 0.15x = -1 + 1.3 0.15x = -1 + 1.3 Combine like terms: -1 + 1.3 = 0.3 0.15x = 0.3 Divide each side by '0.15'. x = 2 Simplifying x = 2
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