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