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Simplifying 0.4x + 0.25(97 + -1x) = 32 0.4x + (97 * 0.25 + -1x * 0.25) = 32 0.4x + (24.25 + -0.25x) = 32 Reorder the terms: 24.25 + 0.4x + -0.25x = 32 Combine like terms: 0.4x + -0.25x = 0.15x 24.25 + 0.15x = 32 Solving 24.25 + 0.15x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.25' to each side of the equation. 24.25 + -24.25 + 0.15x = 32 + -24.25 Combine like terms: 24.25 + -24.25 = 0.00 0.00 + 0.15x = 32 + -24.25 0.15x = 32 + -24.25 Combine like terms: 32 + -24.25 = 7.75 0.15x = 7.75 Divide each side by '0.15'. x = 51.66666667 Simplifying x = 51.66666667
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