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Simplifying 1.05x + 0.30(100 + -1x) = 0.95x 1.05x + (100 * 0.30 + -1x * 0.30) = 0.95x 1.05x + (30 + -0.3x) = 0.95x Reorder the terms: 30 + 1.05x + -0.3x = 0.95x Combine like terms: 1.05x + -0.3x = 0.75x 30 + 0.75x = 0.95x Solving 30 + 0.75x = 0.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.95x' to each side of the equation. 30 + 0.75x + -0.95x = 0.95x + -0.95x Combine like terms: 0.75x + -0.95x = -0.2x 30 + -0.2x = 0.95x + -0.95x Combine like terms: 0.95x + -0.95x = 0.00 30 + -0.2x = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.2x = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.2x = 0.00 + -30 -0.2x = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.2x = -30 Divide each side by '-0.2'. x = 150 Simplifying x = 150
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