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Simplifying 0.7x + 20 = 0.5(x + 20) Reorder the terms: 20 + 0.7x = 0.5(x + 20) Reorder the terms: 20 + 0.7x = 0.5(20 + x) 20 + 0.7x = (20 * 0.5 + x * 0.5) 20 + 0.7x = (10 + 0.5x) Solving 20 + 0.7x = 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. 20 + 0.7x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 20 + 0.2x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 20 + 0.2x = 10 + 0.0 20 + 0.2x = 10 Add '-20' to each side of the equation. 20 + -20 + 0.2x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 10 + -20 0.2x = 10 + -20 Combine like terms: 10 + -20 = -10 0.2x = -10 Divide each side by '0.2'. x = -50 Simplifying x = -50
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