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Simplifying -5x + 5(-3x + -7) = -50 + -5x Reorder the terms: -5x + 5(-7 + -3x) = -50 + -5x -5x + (-7 * 5 + -3x * 5) = -50 + -5x -5x + (-35 + -15x) = -50 + -5x Reorder the terms: -35 + -5x + -15x = -50 + -5x Combine like terms: -5x + -15x = -20x -35 + -20x = -50 + -5x Solving -35 + -20x = -50 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -35 + -20x + 5x = -50 + -5x + 5x Combine like terms: -20x + 5x = -15x -35 + -15x = -50 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + -15x = -50 + 0 -35 + -15x = -50 Add '35' to each side of the equation. -35 + 35 + -15x = -50 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = -50 + 35 -15x = -50 + 35 Combine like terms: -50 + 35 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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