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Simplifying 0.25x + -0.2(x + -1) = 5x Reorder the terms: 0.25x + -0.2(-1 + x) = 5x 0.25x + (-1 * -0.2 + x * -0.2) = 5x 0.25x + (0.2 + -0.2x) = 5x Reorder the terms: 0.2 + 0.25x + -0.2x = 5x Combine like terms: 0.25x + -0.2x = 0.05x 0.2 + 0.05x = 5x Solving 0.2 + 0.05x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.2 + 0.05x + -5x = 5x + -5x Combine like terms: 0.05x + -5x = -4.95x 0.2 + -4.95x = 5x + -5x Combine like terms: 5x + -5x = 0 0.2 + -4.95x = 0 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -4.95x = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -4.95x = 0 + -0.2 -4.95x = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -4.95x = -0.2 Divide each side by '-4.95'. x = 0.0404040404 Simplifying x = 0.0404040404
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