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Simplifying 0.25(x + 2) + -0.05(x + -40) = 15 Reorder the terms: 0.25(2 + x) + -0.05(x + -40) = 15 (2 * 0.25 + x * 0.25) + -0.05(x + -40) = 15 (0.5 + 0.25x) + -0.05(x + -40) = 15 Reorder the terms: 0.5 + 0.25x + -0.05(-40 + x) = 15 0.5 + 0.25x + (-40 * -0.05 + x * -0.05) = 15 0.5 + 0.25x + (2 + -0.05x) = 15 Reorder the terms: 0.5 + 2 + 0.25x + -0.05x = 15 Combine like terms: 0.5 + 2 = 2.5 2.5 + 0.25x + -0.05x = 15 Combine like terms: 0.25x + -0.05x = 0.2x 2.5 + 0.2x = 15 Solving 2.5 + 0.2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.2x = 15 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.2x = 15 + -2.5 0.2x = 15 + -2.5 Combine like terms: 15 + -2.5 = 12.5 0.2x = 12.5 Divide each side by '0.2'. x = 62.5 Simplifying x = 62.5
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