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