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Simplifying 3(x + -2) = 9(2 + x) Reorder the terms: 3(-2 + x) = 9(2 + x) (-2 * 3 + x * 3) = 9(2 + x) (-6 + 3x) = 9(2 + x) -6 + 3x = (2 * 9 + x * 9) -6 + 3x = (18 + 9x) Solving -6 + 3x = 18 + 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. -6 + 3x + -9x = 18 + 9x + -9x Combine like terms: 3x + -9x = -6x -6 + -6x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -6x = 18 + 0 -6 + -6x = 18 Add '6' to each side of the equation. -6 + 6 + -6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 18 + 6 -6x = 18 + 6 Combine like terms: 18 + 6 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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