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Simplifying -35 + 7x = -7x + -5(1x + 7) Reorder the terms: -35 + 7x = -7x + -5(7 + 1x) -35 + 7x = -7x + (7 * -5 + 1x * -5) -35 + 7x = -7x + (-35 + -5x) Reorder the terms: -35 + 7x = -35 + -7x + -5x Combine like terms: -7x + -5x = -12x -35 + 7x = -35 + -12x Add '35' to each side of the equation. -35 + 35 + 7x = -35 + 35 + -12x Combine like terms: -35 + 35 = 0 0 + 7x = -35 + 35 + -12x 7x = -35 + 35 + -12x Combine like terms: -35 + 35 = 0 7x = 0 + -12x 7x = -12x Solving 7x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 7x + 12x = -12x + 12x Combine like terms: 7x + 12x = 19x 19x = -12x + 12x Combine like terms: -12x + 12x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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