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Simplifying x + -1(2x + 100) * 0.4 = 400 Reorder the terms: x + -1(100 + 2x) * 0.4 = 400 Reorder the terms for easier multiplication: x + -1 * 0.4(100 + 2x) = 400 Multiply -1 * 0.4 x + -0.4(100 + 2x) = 400 x + (100 * -0.4 + 2x * -0.4) = 400 x + (-40 + -0.8x) = 400 Reorder the terms: -40 + x + -0.8x = 400 Combine like terms: x + -0.8x = 0.2x -40 + 0.2x = 400 Solving -40 + 0.2x = 400 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 + 0.2x = 400 + 40 Combine like terms: -40 + 40 = 0 0 + 0.2x = 400 + 40 0.2x = 400 + 40 Combine like terms: 400 + 40 = 440 0.2x = 440 Divide each side by '0.2'. x = 2200 Simplifying x = 2200
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