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Simplifying 9x + -1(7x + 5) = 3x + -50 Reorder the terms: 9x + -1(5 + 7x) = 3x + -50 9x + (5 * -1 + 7x * -1) = 3x + -50 9x + (-5 + -7x) = 3x + -50 Reorder the terms: -5 + 9x + -7x = 3x + -50 Combine like terms: 9x + -7x = 2x -5 + 2x = 3x + -50 Reorder the terms: -5 + 2x = -50 + 3x Solving -5 + 2x = -50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 2x + -3x = -50 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -50 + 0 -5 + -1x = -50 Add '5' to each side of the equation. -5 + 5 + -1x = -50 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -50 + 5 -1x = -50 + 5 Combine like terms: -50 + 5 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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