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Simplifying -7(5 + -4x) = 12x + -35 (5 * -7 + -4x * -7) = 12x + -35 (-35 + 28x) = 12x + -35 Reorder the terms: -35 + 28x = -35 + 12x Add '35' to each side of the equation. -35 + 35 + 28x = -35 + 35 + 12x Combine like terms: -35 + 35 = 0 0 + 28x = -35 + 35 + 12x 28x = -35 + 35 + 12x Combine like terms: -35 + 35 = 0 28x = 0 + 12x 28x = 12x Solving 28x = 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. 28x + -12x = 12x + -12x Combine like terms: 28x + -12x = 16x 16x = 12x + -12x Combine like terms: 12x + -12x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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