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Simplifying 0.40(x) + 0.45(18) = 0.43(x + 18) Multiply 0.45 * 18 0.40x + 8.1 = 0.43(x + 18) Reorder the terms: 8.1 + 0.40x = 0.43(x + 18) Reorder the terms: 8.1 + 0.40x = 0.43(18 + x) 8.1 + 0.40x = (18 * 0.43 + x * 0.43) 8.1 + 0.40x = (7.74 + 0.43x) Solving 8.1 + 0.40x = 7.74 + 0.43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.43x' to each side of the equation. 8.1 + 0.40x + -0.43x = 7.74 + 0.43x + -0.43x Combine like terms: 0.40x + -0.43x = -0.03x 8.1 + -0.03x = 7.74 + 0.43x + -0.43x Combine like terms: 0.43x + -0.43x = 0.00 8.1 + -0.03x = 7.74 + 0.00 8.1 + -0.03x = 7.74 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -0.03x = 7.74 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -0.03x = 7.74 + -8.1 -0.03x = 7.74 + -8.1 Combine like terms: 7.74 + -8.1 = -0.36 -0.03x = -0.36 Divide each side by '-0.03'. x = 12 Simplifying x = 12
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