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Simplifying 35 + -5x = -3(4x + 7) Reorder the terms: 35 + -5x = -3(7 + 4x) 35 + -5x = (7 * -3 + 4x * -3) 35 + -5x = (-21 + -12x) Solving 35 + -5x = -21 + -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. 35 + -5x + 12x = -21 + -12x + 12x Combine like terms: -5x + 12x = 7x 35 + 7x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 35 + 7x = -21 + 0 35 + 7x = -21 Add '-35' to each side of the equation. 35 + -35 + 7x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -21 + -35 7x = -21 + -35 Combine like terms: -21 + -35 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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