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Simplifying 100 * 0.20(12) + 100 * 0.05x = 120 + 10x Multiply 100 * 0.20 20 * 12 + 100 * 0.05x = 120 + 10x Multiply 20 * 12 240 + 100 * 0.05x = 120 + 10x Multiply 100 * 0.05 240 + 5x = 120 + 10x Solving 240 + 5x = 120 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 240 + 5x + -10x = 120 + 10x + -10x Combine like terms: 5x + -10x = -5x 240 + -5x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 240 + -5x = 120 + 0 240 + -5x = 120 Add '-240' to each side of the equation. 240 + -240 + -5x = 120 + -240 Combine like terms: 240 + -240 = 0 0 + -5x = 120 + -240 -5x = 120 + -240 Combine like terms: 120 + -240 = -120 -5x = -120 Divide each side by '-5'. x = 24 Simplifying x = 24
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