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Simplifying 0.10(40) + 0.50x = 0.30(40 + x) Multiply 0.10 * 40 4 + 0.50x = 0.30(40 + x) 4 + 0.50x = (40 * 0.30 + x * 0.30) 4 + 0.50x = (12 + 0.30x) Solving 4 + 0.50x = 12 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 4 + 0.50x + -0.30x = 12 + 0.30x + -0.30x Combine like terms: 0.50x + -0.30x = 0.2x 4 + 0.2x = 12 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 4 + 0.2x = 12 + 0.00 4 + 0.2x = 12 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 12 + -4 0.2x = 12 + -4 Combine like terms: 12 + -4 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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