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Simplifying (7x + -2) + -1(-3 + 1) = -3(1 + -3x) Reorder the terms: (-2 + 7x) + -1(-3 + 1) = -3(1 + -3x) Remove parenthesis around (-2 + 7x) -2 + 7x + -1(-3 + 1) = -3(1 + -3x) Combine like terms: -3 + 1 = -2 -2 + 7x + -1(-2) = -3(1 + -3x) Multiply -1 * -2 -2 + 7x + 2 = -3(1 + -3x) Reorder the terms: -2 + 2 + 7x = -3(1 + -3x) Combine like terms: -2 + 2 = 0 0 + 7x = -3(1 + -3x) 7x = -3(1 + -3x) 7x = (1 * -3 + -3x * -3) 7x = (-3 + 9x) Solving 7x = -3 + 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. 7x + -9x = -3 + 9x + -9x Combine like terms: 7x + -9x = -2x -2x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -2x = -3 + 0 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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