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Simplifying -11x + 3(x + -3) + 6x = 9x + -86 Reorder the terms: -11x + 3(-3 + x) + 6x = 9x + -86 -11x + (-3 * 3 + x * 3) + 6x = 9x + -86 -11x + (-9 + 3x) + 6x = 9x + -86 Reorder the terms: -9 + -11x + 3x + 6x = 9x + -86 Combine like terms: -11x + 3x = -8x -9 + -8x + 6x = 9x + -86 Combine like terms: -8x + 6x = -2x -9 + -2x = 9x + -86 Reorder the terms: -9 + -2x = -86 + 9x Solving -9 + -2x = -86 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + -2x + -9x = -86 + 9x + -9x Combine like terms: -2x + -9x = -11x -9 + -11x = -86 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -11x = -86 + 0 -9 + -11x = -86 Add '9' to each side of the equation. -9 + 9 + -11x = -86 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = -86 + 9 -11x = -86 + 9 Combine like terms: -86 + 9 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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