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Simplifying 0.3x + 0.7(100) = 0.5(100 + x) Multiply 0.7 * 100 0.3x + 70 = 0.5(100 + x) Reorder the terms: 70 + 0.3x = 0.5(100 + x) 70 + 0.3x = (100 * 0.5 + x * 0.5) 70 + 0.3x = (50 + 0.5x) Solving 70 + 0.3x = 50 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 70 + 0.3x + -0.5x = 50 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 70 + -0.2x = 50 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 70 + -0.2x = 50 + 0.0 70 + -0.2x = 50 Add '-70' to each side of the equation. 70 + -70 + -0.2x = 50 + -70 Combine like terms: 70 + -70 = 0 0 + -0.2x = 50 + -70 -0.2x = 50 + -70 Combine like terms: 50 + -70 = -20 -0.2x = -20 Divide each side by '-0.2'. x = 100 Simplifying x = 100
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