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Simplifying x + -1(x + -10) + 50 + (20 + -1x) = 505 Reorder the terms: x + -1(-10 + x) + 50 + (20 + -1x) = 505 x + (-10 * -1 + x * -1) + 50 + (20 + -1x) = 505 x + (10 + -1x) + 50 + (20 + -1x) = 505 Remove parenthesis around (20 + -1x) x + 10 + -1x + 50 + 20 + -1x = 505 Reorder the terms: 10 + 50 + 20 + x + -1x + -1x = 505 Combine like terms: 10 + 50 = 60 60 + 20 + x + -1x + -1x = 505 Combine like terms: 60 + 20 = 80 80 + x + -1x + -1x = 505 Combine like terms: x + -1x = 0 80 + 0 + -1x = 505 80 + -1x = 505 Solving 80 + -1x = 505 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 505 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 505 + -80 -1x = 505 + -80 Combine like terms: 505 + -80 = 425 -1x = 425 Divide each side by '-1'. x = -425 Simplifying x = -425
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