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Simplifying 0.7x + 0.4x(20) = 0.5(x + 20) Reorder the terms for easier multiplication: 0.7x + 0.4 * 20x = 0.5(x + 20) Multiply 0.4 * 20 0.7x + 8x = 0.5(x + 20) Combine like terms: 0.7x + 8x = 8.7x 8.7x = 0.5(x + 20) Reorder the terms: 8.7x = 0.5(20 + x) 8.7x = (20 * 0.5 + x * 0.5) 8.7x = (10 + 0.5x) Solving 8.7x = 10 + 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. 8.7x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 8.7x + -0.5x = 8.2x 8.2x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8.2x = 10 + 0.0 8.2x = 10 Divide each side by '8.2'. x = 1.219512195 Simplifying x = 1.219512195
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