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Simplifying 7(x + -7) * 12 = 5(x + -7) Reorder the terms: 7(-7 + x) * 12 = 5(x + -7) Reorder the terms for easier multiplication: 7 * 12(-7 + x) = 5(x + -7) Multiply 7 * 12 84(-7 + x) = 5(x + -7) (-7 * 84 + x * 84) = 5(x + -7) (-588 + 84x) = 5(x + -7) Reorder the terms: -588 + 84x = 5(-7 + x) -588 + 84x = (-7 * 5 + x * 5) -588 + 84x = (-35 + 5x) Solving -588 + 84x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -588 + 84x + -5x = -35 + 5x + -5x Combine like terms: 84x + -5x = 79x -588 + 79x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -588 + 79x = -35 + 0 -588 + 79x = -35 Add '588' to each side of the equation. -588 + 588 + 79x = -35 + 588 Combine like terms: -588 + 588 = 0 0 + 79x = -35 + 588 79x = -35 + 588 Combine like terms: -35 + 588 = 553 79x = 553 Divide each side by '79'. x = 7 Simplifying x = 7
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