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Simplifying 2x[x + -1(x + -50)] = x + -1(800 + -3x) Reorder the terms: 2x[x + -1(-50 + x)] = x + -1(800 + -3x) 2x[x + (-50 * -1 + x * -1)] = x + -1(800 + -3x) 2x[x + (50 + -1x)] = x + -1(800 + -3x) Reorder the terms: 2x[50 + x + -1x] = x + -1(800 + -3x) Combine like terms: x + -1x = 0 2x[50 + 0] = x + -1(800 + -3x) 2x[50] = x + -1(800 + -3x) Reorder the terms for easier multiplication: 2 * 50x = x + -1(800 + -3x) Multiply 2 * 50 100x = x + -1(800 + -3x) 100x = x + (800 * -1 + -3x * -1) 100x = x + (-800 + 3x) Reorder the terms: 100x = -800 + x + 3x Combine like terms: x + 3x = 4x 100x = -800 + 4x Solving 100x = -800 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 100x + -4x = -800 + 4x + -4x Combine like terms: 100x + -4x = 96x 96x = -800 + 4x + -4x Combine like terms: 4x + -4x = 0 96x = -800 + 0 96x = -800 Divide each side by '96'. x = -8.333333333 Simplifying x = -8.333333333
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