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Simplifying 0.38 + 0.44(7) = 0.40(x + 7) Multiply 0.44 * 7 0.38 + 3.08 = 0.40(x + 7) Combine like terms: 0.38 + 3.08 = 3.46 3.46 = 0.40(x + 7) Reorder the terms: 3.46 = 0.40(7 + x) 3.46 = (7 * 0.40 + x * 0.40) 3.46 = (2.8 + 0.40x) Solving 3.46 = 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. 3.46 + -0.40x = 2.8 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 3.46 + -0.40x = 2.8 + 0.00 3.46 + -0.40x = 2.8 Add '-3.46' to each side of the equation. 3.46 + -3.46 + -0.40x = 2.8 + -3.46 Combine like terms: 3.46 + -3.46 = 0.00 0.00 + -0.40x = 2.8 + -3.46 -0.40x = 2.8 + -3.46 Combine like terms: 2.8 + -3.46 = -0.66 -0.40x = -0.66 Divide each side by '-0.40'. x = 1.65 Simplifying x = 1.65
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