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Simplifying 2(0.2 + 0.25x) + -2x = x + -1 (0.2 * 2 + 0.25x * 2) + -2x = x + -1 (0.4 + 0.5x) + -2x = x + -1 Combine like terms: 0.5x + -2x = -1.5x 0.4 + -1.5x = x + -1 Reorder the terms: 0.4 + -1.5x = -1 + x Solving 0.4 + -1.5x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.4 + -1.5x + -1x = -1 + x + -1x Combine like terms: -1.5x + -1x = -2.5x 0.4 + -2.5x = -1 + x + -1x Combine like terms: x + -1x = 0 0.4 + -2.5x = -1 + 0 0.4 + -2.5x = -1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -2.5x = -1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -2.5x = -1 + -0.4 -2.5x = -1 + -0.4 Combine like terms: -1 + -0.4 = -1.4 -2.5x = -1.4 Divide each side by '-2.5'. x = 0.56 Simplifying x = 0.56
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