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Simplifying 0.100x + 0.25(100) = 0.60(x + 100) Multiply 0.25 * 100 0.100x + 25 = 0.60(x + 100) Reorder the terms: 25 + 0.100x = 0.60(x + 100) Reorder the terms: 25 + 0.100x = 0.60(100 + x) 25 + 0.100x = (100 * 0.60 + x * 0.60) 25 + 0.100x = (60 + 0.60x) Solving 25 + 0.100x = 60 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 25 + 0.100x + -0.60x = 60 + 0.60x + -0.60x Combine like terms: 0.100x + -0.60x = -0.5x 25 + -0.5x = 60 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 25 + -0.5x = 60 + 0.00 25 + -0.5x = 60 Add '-25' to each side of the equation. 25 + -25 + -0.5x = 60 + -25 Combine like terms: 25 + -25 = 0 0 + -0.5x = 60 + -25 -0.5x = 60 + -25 Combine like terms: 60 + -25 = 35 -0.5x = 35 Divide each side by '-0.5'. x = -70 Simplifying x = -70
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