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Simplifying -12x + 4(x + -5) + 6x = 9x + -86 Reorder the terms: -12x + 4(-5 + x) + 6x = 9x + -86 -12x + (-5 * 4 + x * 4) + 6x = 9x + -86 -12x + (-20 + 4x) + 6x = 9x + -86 Reorder the terms: -20 + -12x + 4x + 6x = 9x + -86 Combine like terms: -12x + 4x = -8x -20 + -8x + 6x = 9x + -86 Combine like terms: -8x + 6x = -2x -20 + -2x = 9x + -86 Reorder the terms: -20 + -2x = -86 + 9x Solving -20 + -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. -20 + -2x + -9x = -86 + 9x + -9x Combine like terms: -2x + -9x = -11x -20 + -11x = -86 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -11x = -86 + 0 -20 + -11x = -86 Add '20' to each side of the equation. -20 + 20 + -11x = -86 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = -86 + 20 -11x = -86 + 20 Combine like terms: -86 + 20 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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