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Simplifying (x + -1) + (x + -1) = 3x + -7 Reorder the terms: (-1 + x) + (x + -1) = 3x + -7 Remove parenthesis around (-1 + x) -1 + x + (x + -1) = 3x + -7 Reorder the terms: -1 + x + (-1 + x) = 3x + -7 Remove parenthesis around (-1 + x) -1 + x + -1 + x = 3x + -7 Reorder the terms: -1 + -1 + x + x = 3x + -7 Combine like terms: -1 + -1 = -2 -2 + x + x = 3x + -7 Combine like terms: x + x = 2x -2 + 2x = 3x + -7 Reorder the terms: -2 + 2x = -7 + 3x Solving -2 + 2x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 2x + -3x = -7 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -7 + 0 -2 + -1x = -7 Add '2' to each side of the equation. -2 + 2 + -1x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -7 + 2 -1x = -7 + 2 Combine like terms: -7 + 2 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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