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Simplifying 0.25(x + -3) + 1 = 0.20x + -2 Reorder the terms: 0.25(-3 + x) + 1 = 0.20x + -2 (-3 * 0.25 + x * 0.25) + 1 = 0.20x + -2 (-0.75 + 0.25x) + 1 = 0.20x + -2 Reorder the terms: -0.75 + 1 + 0.25x = 0.20x + -2 Combine like terms: -0.75 + 1 = 0.25 0.25 + 0.25x = 0.20x + -2 Reorder the terms: 0.25 + 0.25x = -2 + 0.20x Solving 0.25 + 0.25x = -2 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 0.25 + 0.25x + -0.20x = -2 + 0.20x + -0.20x Combine like terms: 0.25x + -0.20x = 0.05x 0.25 + 0.05x = -2 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 0.25 + 0.05x = -2 + 0.00 0.25 + 0.05x = -2 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.05x = -2 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.05x = -2 + -0.25 0.05x = -2 + -0.25 Combine like terms: -2 + -0.25 = -2.25 0.05x = -2.25 Divide each side by '0.05'. x = -45 Simplifying x = -45
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