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Simplifying 9(3x + 2) = 2(x + -3) + 14 Reorder the terms: 9(2 + 3x) = 2(x + -3) + 14 (2 * 9 + 3x * 9) = 2(x + -3) + 14 (18 + 27x) = 2(x + -3) + 14 Reorder the terms: 18 + 27x = 2(-3 + x) + 14 18 + 27x = (-3 * 2 + x * 2) + 14 18 + 27x = (-6 + 2x) + 14 Reorder the terms: 18 + 27x = -6 + 14 + 2x Combine like terms: -6 + 14 = 8 18 + 27x = 8 + 2x Solving 18 + 27x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 27x + -2x = 8 + 2x + -2x Combine like terms: 27x + -2x = 25x 18 + 25x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 25x = 8 + 0 18 + 25x = 8 Add '-18' to each side of the equation. 18 + -18 + 25x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 25x = 8 + -18 25x = 8 + -18 Combine like terms: 8 + -18 = -10 25x = -10 Divide each side by '25'. x = -0.4 Simplifying x = -0.4
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