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Simplifying (7x + -2) + -1(-3x + 1) = -3(1 + -30) Reorder the terms: (-2 + 7x) + -1(-3x + 1) = -3(1 + -30) Remove parenthesis around (-2 + 7x) -2 + 7x + -1(-3x + 1) = -3(1 + -30) Reorder the terms: -2 + 7x + -1(1 + -3x) = -3(1 + -30) -2 + 7x + (1 * -1 + -3x * -1) = -3(1 + -30) -2 + 7x + (-1 + 3x) = -3(1 + -30) Reorder the terms: -2 + -1 + 7x + 3x = -3(1 + -30) Combine like terms: -2 + -1 = -3 -3 + 7x + 3x = -3(1 + -30) Combine like terms: 7x + 3x = 10x -3 + 10x = -3(1 + -30) Combine like terms: 1 + -30 = -29 -3 + 10x = -3(-29) Multiply -3 * -29 -3 + 10x = 87 Solving -3 + 10x = 87 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10x = 87 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 87 + 3 10x = 87 + 3 Combine like terms: 87 + 3 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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