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Simplifying 0.38x + 0.44(7) = 0.40(x + 7) Multiply 0.44 * 7 0.38x + 3.08 = 0.40(x + 7) Reorder the terms: 3.08 + 0.38x = 0.40(x + 7) Reorder the terms: 3.08 + 0.38x = 0.40(7 + x) 3.08 + 0.38x = (7 * 0.40 + x * 0.40) 3.08 + 0.38x = (2.8 + 0.40x) Solving 3.08 + 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. 3.08 + 0.38x + -0.40x = 2.8 + 0.40x + -0.40x Combine like terms: 0.38x + -0.40x = -0.02x 3.08 + -0.02x = 2.8 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 3.08 + -0.02x = 2.8 + 0.00 3.08 + -0.02x = 2.8 Add '-3.08' to each side of the equation. 3.08 + -3.08 + -0.02x = 2.8 + -3.08 Combine like terms: 3.08 + -3.08 = 0.00 0.00 + -0.02x = 2.8 + -3.08 -0.02x = 2.8 + -3.08 Combine like terms: 2.8 + -3.08 = -0.28 -0.02x = -0.28 Divide each side by '-0.02'. x = 14 Simplifying x = 14
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