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Simplifying 1.05x + 0.30(100 + -1x) = 1.25x 1.05x + (100 * 0.30 + -1x * 0.30) = 1.25x 1.05x + (30 + -0.3x) = 1.25x Reorder the terms: 30 + 1.05x + -0.3x = 1.25x Combine like terms: 1.05x + -0.3x = 0.75x 30 + 0.75x = 1.25x Solving 30 + 0.75x = 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 30 + 0.75x + -1.25x = 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 30 + -0.5x = 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 30 + -0.5x = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.5x = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5x = 0.00 + -30 -0.5x = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.5x = -30 Divide each side by '-0.5'. x = 60 Simplifying x = 60
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