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Simplifying 7x + -1 = 5(x + 5) + -8 Reorder the terms: -1 + 7x = 5(x + 5) + -8 Reorder the terms: -1 + 7x = 5(5 + x) + -8 -1 + 7x = (5 * 5 + x * 5) + -8 -1 + 7x = (25 + 5x) + -8 Reorder the terms: -1 + 7x = 25 + -8 + 5x Combine like terms: 25 + -8 = 17 -1 + 7x = 17 + 5x Solving -1 + 7x = 17 + 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. -1 + 7x + -5x = 17 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = 17 + 0 -1 + 2x = 17 Add '1' to each side of the equation. -1 + 1 + 2x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 17 + 1 2x = 17 + 1 Combine like terms: 17 + 1 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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