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Simplifying 7(3 + 2x) = 5(2x + -7) (3 * 7 + 2x * 7) = 5(2x + -7) (21 + 14x) = 5(2x + -7) Reorder the terms: 21 + 14x = 5(-7 + 2x) 21 + 14x = (-7 * 5 + 2x * 5) 21 + 14x = (-35 + 10x) Solving 21 + 14x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 14x + -10x = -35 + 10x + -10x Combine like terms: 14x + -10x = 4x 21 + 4x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 4x = -35 + 0 21 + 4x = -35 Add '-21' to each side of the equation. 21 + -21 + 4x = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = -35 + -21 4x = -35 + -21 Combine like terms: -35 + -21 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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