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Simplifying 7(x + -1) + -2 = 5(x + 1) Reorder the terms: 7(-1 + x) + -2 = 5(x + 1) (-1 * 7 + x * 7) + -2 = 5(x + 1) (-7 + 7x) + -2 = 5(x + 1) Reorder the terms: -7 + -2 + 7x = 5(x + 1) Combine like terms: -7 + -2 = -9 -9 + 7x = 5(x + 1) Reorder the terms: -9 + 7x = 5(1 + x) -9 + 7x = (1 * 5 + x * 5) -9 + 7x = (5 + 5x) Solving -9 + 7x = 5 + 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. -9 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -9 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 2x = 5 + 0 -9 + 2x = 5 Add '9' to each side of the equation. -9 + 9 + 2x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 5 + 9 2x = 5 + 9 Combine like terms: 5 + 9 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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