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Simplifying 3(x + -6) + 2 = 9x + -6 Reorder the terms: 3(-6 + x) + 2 = 9x + -6 (-6 * 3 + x * 3) + 2 = 9x + -6 (-18 + 3x) + 2 = 9x + -6 Reorder the terms: -18 + 2 + 3x = 9x + -6 Combine like terms: -18 + 2 = -16 -16 + 3x = 9x + -6 Reorder the terms: -16 + 3x = -6 + 9x Solving -16 + 3x = -6 + 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. -16 + 3x + -9x = -6 + 9x + -9x Combine like terms: 3x + -9x = -6x -16 + -6x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -6x = -6 + 0 -16 + -6x = -6 Add '16' to each side of the equation. -16 + 16 + -6x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -6 + 16 -6x = -6 + 16 Combine like terms: -6 + 16 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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