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Simplifying 50 + -1[(2 + -5x) + -1(16 + -4x)] = 85 Remove parenthesis around (2 + -5x) 50 + -1[2 + -5x + -1(16 + -4x)] = 85 50 + -1[2 + -5x + (16 * -1 + -4x * -1)] = 85 50 + -1[2 + -5x + (-16 + 4x)] = 85 Reorder the terms: 50 + -1[2 + -16 + -5x + 4x] = 85 Combine like terms: 2 + -16 = -14 50 + -1[-14 + -5x + 4x] = 85 Combine like terms: -5x + 4x = -1x 50 + -1[-14 + -1x] = 85 50 + [-14 * -1 + -1x * -1] = 85 50 + [14 + 1x] = 85 Combine like terms: 50 + 14 = 64 64 + 1x = 85 Solving 64 + 1x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 1x = 85 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 85 + -64 1x = 85 + -64 Combine like terms: 85 + -64 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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