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Simplifying 7x + 7(-8 + x) = 5(x + 5) 7x + (-8 * 7 + x * 7) = 5(x + 5) 7x + (-56 + 7x) = 5(x + 5) Reorder the terms: -56 + 7x + 7x = 5(x + 5) Combine like terms: 7x + 7x = 14x -56 + 14x = 5(x + 5) Reorder the terms: -56 + 14x = 5(5 + x) -56 + 14x = (5 * 5 + x * 5) -56 + 14x = (25 + 5x) Solving -56 + 14x = 25 + 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. -56 + 14x + -5x = 25 + 5x + -5x Combine like terms: 14x + -5x = 9x -56 + 9x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 9x = 25 + 0 -56 + 9x = 25 Add '56' to each side of the equation. -56 + 56 + 9x = 25 + 56 Combine like terms: -56 + 56 = 0 0 + 9x = 25 + 56 9x = 25 + 56 Combine like terms: 25 + 56 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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