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Simplifying -5(3x + -5) = -35 + -5x Reorder the terms: -5(-5 + 3x) = -35 + -5x (-5 * -5 + 3x * -5) = -35 + -5x (25 + -15x) = -35 + -5x Solving 25 + -15x = -35 + -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. 25 + -15x + 5x = -35 + -5x + 5x Combine like terms: -15x + 5x = -10x 25 + -10x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 25 + -10x = -35 + 0 25 + -10x = -35 Add '-25' to each side of the equation. 25 + -25 + -10x = -35 + -25 Combine like terms: 25 + -25 = 0 0 + -10x = -35 + -25 -10x = -35 + -25 Combine like terms: -35 + -25 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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