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Simplifying 0.7x + 0.3(40) = 0.5(x + 30) Multiply 0.3 * 40 0.7x + 12 = 0.5(x + 30) Reorder the terms: 12 + 0.7x = 0.5(x + 30) Reorder the terms: 12 + 0.7x = 0.5(30 + x) 12 + 0.7x = (30 * 0.5 + x * 0.5) 12 + 0.7x = (15 + 0.5x) Solving 12 + 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. 12 + 0.7x + -0.5x = 15 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 12 + 0.2x = 15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 12 + 0.2x = 15 + 0.0 12 + 0.2x = 15 Add '-12' to each side of the equation. 12 + -12 + 0.2x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 15 + -12 0.2x = 15 + -12 Combine like terms: 15 + -12 = 3 0.2x = 3 Divide each side by '0.2'. x = 15 Simplifying x = 15
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