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