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Simplifying (3x + -6) + -1(7 + -7x) = 57 Reorder the terms: (-6 + 3x) + -1(7 + -7x) = 57 Remove parenthesis around (-6 + 3x) -6 + 3x + -1(7 + -7x) = 57 -6 + 3x + (7 * -1 + -7x * -1) = 57 -6 + 3x + (-7 + 7x) = 57 Reorder the terms: -6 + -7 + 3x + 7x = 57 Combine like terms: -6 + -7 = -13 -13 + 3x + 7x = 57 Combine like terms: 3x + 7x = 10x -13 + 10x = 57 Solving -13 + 10x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 10x = 57 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 57 + 13 10x = 57 + 13 Combine like terms: 57 + 13 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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