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Simplifying 0.38x + (0.40)(10) = 0.44(x + 10) Multiply 0.40 * 10 0.38x + 4 = 0.44(x + 10) Reorder the terms: 4 + 0.38x = 0.44(x + 10) Reorder the terms: 4 + 0.38x = 0.44(10 + x) 4 + 0.38x = (10 * 0.44 + x * 0.44) 4 + 0.38x = (4.4 + 0.44x) Solving 4 + 0.38x = 4.4 + 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 4 + 0.38x + -0.44x = 4.4 + 0.44x + -0.44x Combine like terms: 0.38x + -0.44x = -0.06x 4 + -0.06x = 4.4 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 4 + -0.06x = 4.4 + 0.00 4 + -0.06x = 4.4 Add '-4' to each side of the equation. 4 + -4 + -0.06x = 4.4 + -4 Combine like terms: 4 + -4 = 0 0 + -0.06x = 4.4 + -4 -0.06x = 4.4 + -4 Combine like terms: 4.4 + -4 = 0.4 -0.06x = 0.4 Divide each side by '-0.06'. x = -6.666666667 Simplifying x = -6.666666667
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