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Simplifying 0.7x + 0.4(10) = 0.5(x + 30) Multiply 0.4 * 10 0.7x + 4 = 0.5(x + 30) Reorder the terms: 4 + 0.7x = 0.5(x + 30) Reorder the terms: 4 + 0.7x = 0.5(30 + x) 4 + 0.7x = (30 * 0.5 + x * 0.5) 4 + 0.7x = (15 + 0.5x) Solving 4 + 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. 4 + 0.7x + -0.5x = 15 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 4 + 0.2x = 15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 0.2x = 15 + 0.0 4 + 0.2x = 15 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 15 + -4 0.2x = 15 + -4 Combine like terms: 15 + -4 = 11 0.2x = 11 Divide each side by '0.2'. x = 55 Simplifying x = 55
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