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Simplifying -0.10(5) + 0.25x = 0.05(x + -2) Multiply -0.10 * 5 -0.5 + 0.25x = 0.05(x + -2) Reorder the terms: -0.5 + 0.25x = 0.05(-2 + x) -0.5 + 0.25x = (-2 * 0.05 + x * 0.05) -0.5 + 0.25x = (-0.1 + 0.05x) Solving -0.5 + 0.25x = -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. -0.5 + 0.25x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -0.5 + 0.2x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.5 + 0.2x = -0.1 + 0.00 -0.5 + 0.2x = -0.1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.2x = -0.1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.2x = -0.1 + 0.5 0.2x = -0.1 + 0.5 Combine like terms: -0.1 + 0.5 = 0.4 0.2x = 0.4 Divide each side by '0.2'. x = 2 Simplifying x = 2
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