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Simplifying -0.10(20) + 0.55x = 0.05(x + -20) Multiply -0.10 * 20 -2 + 0.55x = 0.05(x + -20) Reorder the terms: -2 + 0.55x = 0.05(-20 + x) -2 + 0.55x = (-20 * 0.05 + x * 0.05) -2 + 0.55x = (-1 + 0.05x) Solving -2 + 0.55x = -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. -2 + 0.55x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.55x + -0.05x = 0.5x -2 + 0.5x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.5x = -1 + 0.00 -2 + 0.5x = -1 Add '2' to each side of the equation. -2 + 2 + 0.5x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5x = -1 + 2 0.5x = -1 + 2 Combine like terms: -1 + 2 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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