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Simplifying (8x + -12 + 3x) + -1(9x + 7 + -11x) + (9x + 8) = 0 Reorder the terms: (-12 + 8x + 3x) + -1(9x + 7 + -11x) + (9x + 8) = 0 Combine like terms: 8x + 3x = 11x (-12 + 11x) + -1(9x + 7 + -11x) + (9x + 8) = 0 Remove parenthesis around (-12 + 11x) -12 + 11x + -1(9x + 7 + -11x) + (9x + 8) = 0 Reorder the terms: -12 + 11x + -1(7 + 9x + -11x) + (9x + 8) = 0 Combine like terms: 9x + -11x = -2x -12 + 11x + -1(7 + -2x) + (9x + 8) = 0 -12 + 11x + (7 * -1 + -2x * -1) + (9x + 8) = 0 -12 + 11x + (-7 + 2x) + (9x + 8) = 0 Reorder the terms: -12 + 11x + -7 + 2x + (8 + 9x) = 0 Remove parenthesis around (8 + 9x) -12 + 11x + -7 + 2x + 8 + 9x = 0 Reorder the terms: -12 + -7 + 8 + 11x + 2x + 9x = 0 Combine like terms: -12 + -7 = -19 -19 + 8 + 11x + 2x + 9x = 0 Combine like terms: -19 + 8 = -11 -11 + 11x + 2x + 9x = 0 Combine like terms: 11x + 2x = 13x -11 + 13x + 9x = 0 Combine like terms: 13x + 9x = 22x -11 + 22x = 0 Solving -11 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 22x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 22x = 0 + 11 22x = 0 + 11 Combine like terms: 0 + 11 = 11 22x = 11 Divide each side by '22'. x = 0.5 Simplifying x = 0.5
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