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Simplifying 0.4x + 0.25(75 + -1x) = 30 0.4x + (75 * 0.25 + -1x * 0.25) = 30 0.4x + (18.75 + -0.25x) = 30 Reorder the terms: 18.75 + 0.4x + -0.25x = 30 Combine like terms: 0.4x + -0.25x = 0.15x 18.75 + 0.15x = 30 Solving 18.75 + 0.15x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.75' to each side of the equation. 18.75 + -18.75 + 0.15x = 30 + -18.75 Combine like terms: 18.75 + -18.75 = 0.00 0.00 + 0.15x = 30 + -18.75 0.15x = 30 + -18.75 Combine like terms: 30 + -18.75 = 11.25 0.15x = 11.25 Divide each side by '0.15'. x = 75 Simplifying x = 75
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