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Simplifying 0.38x + 0.44(10) = 0.40(x + 7) Multiply 0.44 * 10 0.38x + 4.4 = 0.40(x + 7) Reorder the terms: 4.4 + 0.38x = 0.40(x + 7) Reorder the terms: 4.4 + 0.38x = 0.40(7 + x) 4.4 + 0.38x = (7 * 0.40 + x * 0.40) 4.4 + 0.38x = (2.8 + 0.40x) Solving 4.4 + 0.38x = 2.8 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 4.4 + 0.38x + -0.40x = 2.8 + 0.40x + -0.40x Combine like terms: 0.38x + -0.40x = -0.02x 4.4 + -0.02x = 2.8 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 4.4 + -0.02x = 2.8 + 0.00 4.4 + -0.02x = 2.8 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -0.02x = 2.8 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -0.02x = 2.8 + -4.4 -0.02x = 2.8 + -4.4 Combine like terms: 2.8 + -4.4 = -1.6 -0.02x = -1.6 Divide each side by '-0.02'. x = 80 Simplifying x = 80
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