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Simplifying 0.4x + 0.25(67 + -1x) = 37 0.4x + (67 * 0.25 + -1x * 0.25) = 37 0.4x + (16.75 + -0.25x) = 37 Reorder the terms: 16.75 + 0.4x + -0.25x = 37 Combine like terms: 0.4x + -0.25x = 0.15x 16.75 + 0.15x = 37 Solving 16.75 + 0.15x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.75' to each side of the equation. 16.75 + -16.75 + 0.15x = 37 + -16.75 Combine like terms: 16.75 + -16.75 = 0.00 0.00 + 0.15x = 37 + -16.75 0.15x = 37 + -16.75 Combine like terms: 37 + -16.75 = 20.25 0.15x = 20.25 Divide each side by '0.15'. x = 135 Simplifying x = 135
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