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Simplifying (3x + -4) + -1(6x + 7) = 31 Reorder the terms: (-4 + 3x) + -1(6x + 7) = 31 Remove parenthesis around (-4 + 3x) -4 + 3x + -1(6x + 7) = 31 Reorder the terms: -4 + 3x + -1(7 + 6x) = 31 -4 + 3x + (7 * -1 + 6x * -1) = 31 -4 + 3x + (-7 + -6x) = 31 Reorder the terms: -4 + -7 + 3x + -6x = 31 Combine like terms: -4 + -7 = -11 -11 + 3x + -6x = 31 Combine like terms: 3x + -6x = -3x -11 + -3x = 31 Solving -11 + -3x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 31 + 11 -3x = 31 + 11 Combine like terms: 31 + 11 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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