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Simplifying x = 0.61x + -1(0.41x + 74) Reorder the terms: x = 0.61x + -1(74 + 0.41x) x = 0.61x + (74 * -1 + 0.41x * -1) x = 0.61x + (-74 + -0.41x) Reorder the terms: x = -74 + 0.61x + -0.41x Combine like terms: 0.61x + -0.41x = 0.2x x = -74 + 0.2x Solving x = -74 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. x + -0.2x = -74 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 0.8x = -74 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.8x = -74 + 0.0 0.8x = -74 Divide each side by '0.8'. x = -92.5 Simplifying x = -92.5
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