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Simplifying 0.4(x) + 0.25(132 + -1x) = 38.28 0.4x + (132 * 0.25 + -1x * 0.25) = 38.28 0.4x + (33 + -0.25x) = 38.28 Reorder the terms: 33 + 0.4x + -0.25x = 38.28 Combine like terms: 0.4x + -0.25x = 0.15x 33 + 0.15x = 38.28 Solving 33 + 0.15x = 38.28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 0.15x = 38.28 + -33 Combine like terms: 33 + -33 = 0 0 + 0.15x = 38.28 + -33 0.15x = 38.28 + -33 Combine like terms: 38.28 + -33 = 5.28 0.15x = 5.28 Divide each side by '0.15'. x = 35.2 Simplifying x = 35.2
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