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Simplifying 9x + -6(3 + 8x + -1) = 12 + -1(3x + -5) + x Reorder the terms: 9x + -6(3 + -1 + 8x) = 12 + -1(3x + -5) + x Combine like terms: 3 + -1 = 2 9x + -6(2 + 8x) = 12 + -1(3x + -5) + x 9x + (2 * -6 + 8x * -6) = 12 + -1(3x + -5) + x 9x + (-12 + -48x) = 12 + -1(3x + -5) + x Reorder the terms: -12 + 9x + -48x = 12 + -1(3x + -5) + x Combine like terms: 9x + -48x = -39x -12 + -39x = 12 + -1(3x + -5) + x Reorder the terms: -12 + -39x = 12 + -1(-5 + 3x) + x -12 + -39x = 12 + (-5 * -1 + 3x * -1) + x -12 + -39x = 12 + (5 + -3x) + x Combine like terms: 12 + 5 = 17 -12 + -39x = 17 + -3x + x Combine like terms: -3x + x = -2x -12 + -39x = 17 + -2x Solving -12 + -39x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + -39x + 2x = 17 + -2x + 2x Combine like terms: -39x + 2x = -37x -12 + -37x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + -37x = 17 + 0 -12 + -37x = 17 Add '12' to each side of the equation. -12 + 12 + -37x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + -37x = 17 + 12 -37x = 17 + 12 Combine like terms: 17 + 12 = 29 -37x = 29 Divide each side by '-37'. x = -0.7837837838 Simplifying x = -0.7837837838
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