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Simplifying -3(-7x + -5) = 5x + -33 Reorder the terms: -3(-5 + -7x) = 5x + -33 (-5 * -3 + -7x * -3) = 5x + -33 (15 + 21x) = 5x + -33 Reorder the terms: 15 + 21x = -33 + 5x Solving 15 + 21x = -33 + 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. 15 + 21x + -5x = -33 + 5x + -5x Combine like terms: 21x + -5x = 16x 15 + 16x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 16x = -33 + 0 15 + 16x = -33 Add '-15' to each side of the equation. 15 + -15 + 16x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = -33 + -15 16x = -33 + -15 Combine like terms: -33 + -15 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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