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Simplifying 0.4x + 0.25(54 + -1x) = 32 0.4x + (54 * 0.25 + -1x * 0.25) = 32 0.4x + (13.5 + -0.25x) = 32 Reorder the terms: 13.5 + 0.4x + -0.25x = 32 Combine like terms: 0.4x + -0.25x = 0.15x 13.5 + 0.15x = 32 Solving 13.5 + 0.15x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5' to each side of the equation. 13.5 + -13.5 + 0.15x = 32 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 0.15x = 32 + -13.5 0.15x = 32 + -13.5 Combine like terms: 32 + -13.5 = 18.5 0.15x = 18.5 Divide each side by '0.15'. x = 123.3333333 Simplifying x = 123.3333333
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