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Simplifying -0.10(22) + 0.25x = 0.05(x + -20) Multiply -0.10 * 22 -2.2 + 0.25x = 0.05(x + -20) Reorder the terms: -2.2 + 0.25x = 0.05(-20 + x) -2.2 + 0.25x = (-20 * 0.05 + x * 0.05) -2.2 + 0.25x = (-1 + 0.05x) Solving -2.2 + 0.25x = -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. -2.2 + 0.25x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -2.2 + 0.2x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.2 + 0.2x = -1 + 0.00 -2.2 + 0.2x = -1 Add '2.2' to each side of the equation. -2.2 + 2.2 + 0.2x = -1 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 0.2x = -1 + 2.2 0.2x = -1 + 2.2 Combine like terms: -1 + 2.2 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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