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Simplifying (1x + 6) + -1(2x + 7) + -3x = -9 Reorder the terms: (6 + 1x) + -1(2x + 7) + -3x = -9 Remove parenthesis around (6 + 1x) 6 + 1x + -1(2x + 7) + -3x = -9 Reorder the terms: 6 + 1x + -1(7 + 2x) + -3x = -9 6 + 1x + (7 * -1 + 2x * -1) + -3x = -9 6 + 1x + (-7 + -2x) + -3x = -9 Reorder the terms: 6 + -7 + 1x + -2x + -3x = -9 Combine like terms: 6 + -7 = -1 -1 + 1x + -2x + -3x = -9 Combine like terms: 1x + -2x = -1x -1 + -1x + -3x = -9 Combine like terms: -1x + -3x = -4x -1 + -4x = -9 Solving -1 + -4x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -9 + 1 -4x = -9 + 1 Combine like terms: -9 + 1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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