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Simplifying 0.4x + 0.25(120 + -1x) = 33 0.4x + (120 * 0.25 + -1x * 0.25) = 33 0.4x + (30 + -0.25x) = 33 Reorder the terms: 30 + 0.4x + -0.25x = 33 Combine like terms: 0.4x + -0.25x = 0.15x 30 + 0.15x = 33 Solving 30 + 0.15x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.15x = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 0.15x = 33 + -30 0.15x = 33 + -30 Combine like terms: 33 + -30 = 3 0.15x = 3 Divide each side by '0.15'. x = 20 Simplifying x = 20
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