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Simplifying 7 + 9(x + -2) = 6 + -3(x + -7) Reorder the terms: 7 + 9(-2 + x) = 6 + -3(x + -7) 7 + (-2 * 9 + x * 9) = 6 + -3(x + -7) 7 + (-18 + 9x) = 6 + -3(x + -7) Combine like terms: 7 + -18 = -11 -11 + 9x = 6 + -3(x + -7) Reorder the terms: -11 + 9x = 6 + -3(-7 + x) -11 + 9x = 6 + (-7 * -3 + x * -3) -11 + 9x = 6 + (21 + -3x) Combine like terms: 6 + 21 = 27 -11 + 9x = 27 + -3x Solving -11 + 9x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + 9x + 3x = 27 + -3x + 3x Combine like terms: 9x + 3x = 12x -11 + 12x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 12x = 27 + 0 -11 + 12x = 27 Add '11' to each side of the equation. -11 + 11 + 12x = 27 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 27 + 11 12x = 27 + 11 Combine like terms: 27 + 11 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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