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Simplifying 9(x + 2) = 2x + -1(6 + -1x) Reorder the terms: 9(2 + x) = 2x + -1(6 + -1x) (2 * 9 + x * 9) = 2x + -1(6 + -1x) (18 + 9x) = 2x + -1(6 + -1x) 18 + 9x = 2x + (6 * -1 + -1x * -1) 18 + 9x = 2x + (-6 + 1x) Reorder the terms: 18 + 9x = -6 + 2x + 1x Combine like terms: 2x + 1x = 3x 18 + 9x = -6 + 3x Solving 18 + 9x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = -6 + 0 18 + 6x = -6 Add '-18' to each side of the equation. 18 + -18 + 6x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -6 + -18 6x = -6 + -18 Combine like terms: -6 + -18 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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