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Simplifying -9x + 12 = 3x + -8 + 6x + -9 Reorder the terms: 12 + -9x = 3x + -8 + 6x + -9 Reorder the terms: 12 + -9x = -8 + -9 + 3x + 6x Combine like terms: -8 + -9 = -17 12 + -9x = -17 + 3x + 6x Combine like terms: 3x + 6x = 9x 12 + -9x = -17 + 9x Solving 12 + -9x = -17 + 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. 12 + -9x + -9x = -17 + 9x + -9x Combine like terms: -9x + -9x = -18x 12 + -18x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -18x = -17 + 0 12 + -18x = -17 Add '-12' to each side of the equation. 12 + -12 + -18x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -17 + -12 -18x = -17 + -12 Combine like terms: -17 + -12 = -29 -18x = -29 Divide each side by '-18'. x = 1.611111111 Simplifying x = 1.611111111
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