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Simplifying 0.22(50) + 0.7x = 0.5(50 + x) Multiply 0.22 * 50 11 + 0.7x = 0.5(50 + x) 11 + 0.7x = (50 * 0.5 + x * 0.5) 11 + 0.7x = (25 + 0.5x) Solving 11 + 0.7x = 25 + 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. 11 + 0.7x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 11 + 0.2x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 11 + 0.2x = 25 + 0.0 11 + 0.2x = 25 Add '-11' to each side of the equation. 11 + -11 + 0.2x = 25 + -11 Combine like terms: 11 + -11 = 0 0 + 0.2x = 25 + -11 0.2x = 25 + -11 Combine like terms: 25 + -11 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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