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Simplifying 2x + -1[x + -1(x + -50)] = x + -1(80 + -3x) Reorder the terms: 2x + -1[x + -1(-50 + x)] = x + -1(80 + -3x) 2x + -1[x + (-50 * -1 + x * -1)] = x + -1(80 + -3x) 2x + -1[x + (50 + -1x)] = x + -1(80 + -3x) Reorder the terms: 2x + -1[50 + x + -1x] = x + -1(80 + -3x) Combine like terms: x + -1x = 0 2x + -1[50 + 0] = x + -1(80 + -3x) 2x + -1[50] = x + -1(80 + -3x) Multiply -1 * 50 2x + -50 = x + -1(80 + -3x) Reorder the terms: -50 + 2x = x + -1(80 + -3x) -50 + 2x = x + (80 * -1 + -3x * -1) -50 + 2x = x + (-80 + 3x) Reorder the terms: -50 + 2x = -80 + x + 3x Combine like terms: x + 3x = 4x -50 + 2x = -80 + 4x Solving -50 + 2x = -80 + 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. -50 + 2x + -4x = -80 + 4x + -4x Combine like terms: 2x + -4x = -2x -50 + -2x = -80 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + -2x = -80 + 0 -50 + -2x = -80 Add '50' to each side of the equation. -50 + 50 + -2x = -80 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = -80 + 50 -2x = -80 + 50 Combine like terms: -80 + 50 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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