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Simplifying 0.5x + 0.15(100) = 0.4(x + 100) Multiply 0.15 * 100 0.5x + 15 = 0.4(x + 100) Reorder the terms: 15 + 0.5x = 0.4(x + 100) Reorder the terms: 15 + 0.5x = 0.4(100 + x) 15 + 0.5x = (100 * 0.4 + x * 0.4) 15 + 0.5x = (40 + 0.4x) Solving 15 + 0.5x = 40 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 15 + 0.5x + -0.4x = 40 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 15 + 0.1x = 40 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 15 + 0.1x = 40 + 0.0 15 + 0.1x = 40 Add '-15' to each side of the equation. 15 + -15 + 0.1x = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 40 + -15 0.1x = 40 + -15 Combine like terms: 40 + -15 = 25 0.1x = 25 Divide each side by '0.1'. x = 250 Simplifying x = 250
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