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Simplifying (5x + -7) + -1(3x + 2) = (x + 9) + -1(x + -6) Reorder the terms: (-7 + 5x) + -1(3x + 2) = (x + 9) + -1(x + -6) Remove parenthesis around (-7 + 5x) -7 + 5x + -1(3x + 2) = (x + 9) + -1(x + -6) Reorder the terms: -7 + 5x + -1(2 + 3x) = (x + 9) + -1(x + -6) -7 + 5x + (2 * -1 + 3x * -1) = (x + 9) + -1(x + -6) -7 + 5x + (-2 + -3x) = (x + 9) + -1(x + -6) Reorder the terms: -7 + -2 + 5x + -3x = (x + 9) + -1(x + -6) Combine like terms: -7 + -2 = -9 -9 + 5x + -3x = (x + 9) + -1(x + -6) Combine like terms: 5x + -3x = 2x -9 + 2x = (x + 9) + -1(x + -6) Reorder the terms: -9 + 2x = (9 + x) + -1(x + -6) Remove parenthesis around (9 + x) -9 + 2x = 9 + x + -1(x + -6) Reorder the terms: -9 + 2x = 9 + x + -1(-6 + x) -9 + 2x = 9 + x + (-6 * -1 + x * -1) -9 + 2x = 9 + x + (6 + -1x) Reorder the terms: -9 + 2x = 9 + 6 + x + -1x Combine like terms: 9 + 6 = 15 -9 + 2x = 15 + x + -1x Combine like terms: x + -1x = 0 -9 + 2x = 15 + 0 -9 + 2x = 15 Solving -9 + 2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 15 + 9 2x = 15 + 9 Combine like terms: 15 + 9 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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