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Simplifying -35 = -5x + -3(-7x + -15) Reorder the terms: -35 = -5x + -3(-15 + -7x) -35 = -5x + (-15 * -3 + -7x * -3) -35 = -5x + (45 + 21x) Reorder the terms: -35 = 45 + -5x + 21x Combine like terms: -5x + 21x = 16x -35 = 45 + 16x Solving -35 = 45 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -35 + -16x = 45 + 16x + -16x Combine like terms: 16x + -16x = 0 -35 + -16x = 45 + 0 -35 + -16x = 45 Add '35' to each side of the equation. -35 + 35 + -16x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + -16x = 45 + 35 -16x = 45 + 35 Combine like terms: 45 + 35 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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