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Simplifying -5(7 + -3x) + 3(-1x + 3) = -50 (7 * -5 + -3x * -5) + 3(-1x + 3) = -50 (-35 + 15x) + 3(-1x + 3) = -50 Reorder the terms: -35 + 15x + 3(3 + -1x) = -50 -35 + 15x + (3 * 3 + -1x * 3) = -50 -35 + 15x + (9 + -3x) = -50 Reorder the terms: -35 + 9 + 15x + -3x = -50 Combine like terms: -35 + 9 = -26 -26 + 15x + -3x = -50 Combine like terms: 15x + -3x = 12x -26 + 12x = -50 Solving -26 + 12x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 12x = -50 + 26 Combine like terms: -26 + 26 = 0 0 + 12x = -50 + 26 12x = -50 + 26 Combine like terms: -50 + 26 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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