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Simplifying 0.1(30) + 0.7x = 0.5(30 + x) Multiply 0.1 * 30 3 + 0.7x = 0.5(30 + x) 3 + 0.7x = (30 * 0.5 + x * 0.5) 3 + 0.7x = (15 + 0.5x) Solving 3 + 0.7x = 15 + 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. 3 + 0.7x + -0.5x = 15 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 3 + 0.2x = 15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 0.2x = 15 + 0.0 3 + 0.2x = 15 Add '-3' to each side of the equation. 3 + -3 + 0.2x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = 15 + -3 0.2x = 15 + -3 Combine like terms: 15 + -3 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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