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Simplifying 0.5x + -0.4(50 + x) = 0.26(50) 0.5x + (50 * -0.4 + x * -0.4) = 0.26(50) 0.5x + (-20 + -0.4x) = 0.26(50) Reorder the terms: -20 + 0.5x + -0.4x = 0.26(50) Combine like terms: 0.5x + -0.4x = 0.1x -20 + 0.1x = 0.26(50) Multiply 0.26 * 50 -20 + 0.1x = 13 Solving -20 + 0.1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 0.1x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 0.1x = 13 + 20 0.1x = 13 + 20 Combine like terms: 13 + 20 = 33 0.1x = 33 Divide each side by '0.1'. x = 330 Simplifying x = 330
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