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Simplifying 0.25x + 0.40(100 + -1x) = 13 0.25x + (100 * 0.40 + -1x * 0.40) = 13 0.25x + (40 + -0.4x) = 13 Reorder the terms: 40 + 0.25x + -0.4x = 13 Combine like terms: 0.25x + -0.4x = -0.15x 40 + -0.15x = 13 Solving 40 + -0.15x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -0.15x = 13 + -40 Combine like terms: 40 + -40 = 0 0 + -0.15x = 13 + -40 -0.15x = 13 + -40 Combine like terms: 13 + -40 = -27 -0.15x = -27 Divide each side by '-0.15'. x = 180 Simplifying x = 180
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