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Simplifying -7x + 5(-2x + -7) = -50 + -2x Reorder the terms: -7x + 5(-7 + -2x) = -50 + -2x -7x + (-7 * 5 + -2x * 5) = -50 + -2x -7x + (-35 + -10x) = -50 + -2x Reorder the terms: -35 + -7x + -10x = -50 + -2x Combine like terms: -7x + -10x = -17x -35 + -17x = -50 + -2x Solving -35 + -17x = -50 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + -17x + 2x = -50 + -2x + 2x Combine like terms: -17x + 2x = -15x -35 + -15x = -50 + -2x + 2x Combine like terms: -2x + 2x = 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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