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Simplifying (x + 6) + -1(2x + -7) + -3x = -9 Reorder the terms: (6 + x) + -1(2x + -7) + -3x = -9 Remove parenthesis around (6 + x) 6 + x + -1(2x + -7) + -3x = -9 Reorder the terms: 6 + x + -1(-7 + 2x) + -3x = -9 6 + x + (-7 * -1 + 2x * -1) + -3x = -9 6 + x + (7 + -2x) + -3x = -9 Reorder the terms: 6 + 7 + x + -2x + -3x = -9 Combine like terms: 6 + 7 = 13 13 + x + -2x + -3x = -9 Combine like terms: x + -2x = -1x 13 + -1x + -3x = -9 Combine like terms: -1x + -3x = -4x 13 + -4x = -9 Solving 13 + -4x = -9 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 + -4x = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -9 + -13 -4x = -9 + -13 Combine like terms: -9 + -13 = -22 -4x = -22 Divide each side by '-4'. x = 5.5 Simplifying x = 5.5
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