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Simplifying 9x + -6(x + 2) + -6 = 12x Reorder the terms: 9x + -6(2 + x) + -6 = 12x 9x + (2 * -6 + x * -6) + -6 = 12x 9x + (-12 + -6x) + -6 = 12x Reorder the terms: -12 + -6 + 9x + -6x = 12x Combine like terms: -12 + -6 = -18 -18 + 9x + -6x = 12x Combine like terms: 9x + -6x = 3x -18 + 3x = 12x Solving -18 + 3x = 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. -18 + 3x + -12x = 12x + -12x Combine like terms: 3x + -12x = -9x -18 + -9x = 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -9x = 0 Add '18' to each side of the equation. -18 + 18 + -9x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 0 + 18 -9x = 0 + 18 Combine like terms: 0 + 18 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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