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Simplifying (7x + -2) + (3x + 7) = (9x + 1) Reorder the terms: (-2 + 7x) + (3x + 7) = (9x + 1) Remove parenthesis around (-2 + 7x) -2 + 7x + (3x + 7) = (9x + 1) Reorder the terms: -2 + 7x + (7 + 3x) = (9x + 1) Remove parenthesis around (7 + 3x) -2 + 7x + 7 + 3x = (9x + 1) Reorder the terms: -2 + 7 + 7x + 3x = (9x + 1) Combine like terms: -2 + 7 = 5 5 + 7x + 3x = (9x + 1) Combine like terms: 7x + 3x = 10x 5 + 10x = (9x + 1) Reorder the terms: 5 + 10x = (1 + 9x) Remove parenthesis around (1 + 9x) 5 + 10x = 1 + 9x Solving 5 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = 1 + 0 5 + 1x = 1 Add '-5' to each side of the equation. 5 + -5 + 1x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 1 + -5 1x = 1 + -5 Combine like terms: 1 + -5 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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