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Simplifying -6(3x + 2) + -5 = 12x + 9 Reorder the terms: -6(2 + 3x) + -5 = 12x + 9 (2 * -6 + 3x * -6) + -5 = 12x + 9 (-12 + -18x) + -5 = 12x + 9 Reorder the terms: -12 + -5 + -18x = 12x + 9 Combine like terms: -12 + -5 = -17 -17 + -18x = 12x + 9 Reorder the terms: -17 + -18x = 9 + 12x Solving -17 + -18x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -17 + -18x + -12x = 9 + 12x + -12x Combine like terms: -18x + -12x = -30x -17 + -30x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -30x = 9 + 0 -17 + -30x = 9 Add '17' to each side of the equation. -17 + 17 + -30x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -30x = 9 + 17 -30x = 9 + 17 Combine like terms: 9 + 17 = 26 -30x = 26 Divide each side by '-30'. x = -0.8666666667 Simplifying x = -0.8666666667
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