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Simplifying 0.4(x) + 0.25(66 + -1x) = 0.38(66) 0.4x + (66 * 0.25 + -1x * 0.25) = 0.38(66) 0.4x + (16.5 + -0.25x) = 0.38(66) Reorder the terms: 16.5 + 0.4x + -0.25x = 0.38(66) Combine like terms: 0.4x + -0.25x = 0.15x 16.5 + 0.15x = 0.38(66) Multiply 0.38 * 66 16.5 + 0.15x = 25.08 Solving 16.5 + 0.15x = 25.08 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.5' to each side of the equation. 16.5 + -16.5 + 0.15x = 25.08 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 0.15x = 25.08 + -16.5 0.15x = 25.08 + -16.5 Combine like terms: 25.08 + -16.5 = 8.58 0.15x = 8.58 Divide each side by '0.15'. x = 57.2 Simplifying x = 57.2
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