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Simplifying -1(-2x + -9) + -11 = 7 + 6(x + 3) Reorder the terms: -1(-9 + -2x) + -11 = 7 + 6(x + 3) (-9 * -1 + -2x * -1) + -11 = 7 + 6(x + 3) (9 + 2x) + -11 = 7 + 6(x + 3) Reorder the terms: 9 + -11 + 2x = 7 + 6(x + 3) Combine like terms: 9 + -11 = -2 -2 + 2x = 7 + 6(x + 3) Reorder the terms: -2 + 2x = 7 + 6(3 + x) -2 + 2x = 7 + (3 * 6 + x * 6) -2 + 2x = 7 + (18 + 6x) Combine like terms: 7 + 18 = 25 -2 + 2x = 25 + 6x Solving -2 + 2x = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2x + -6x = 25 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = 25 + 0 -2 + -4x = 25 Add '2' to each side of the equation. -2 + 2 + -4x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 25 + 2 -4x = 25 + 2 Combine like terms: 25 + 2 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75
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