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Simplifying 9(3x + 2) + -2x = 10x + -6 Reorder the terms: 9(2 + 3x) + -2x = 10x + -6 (2 * 9 + 3x * 9) + -2x = 10x + -6 (18 + 27x) + -2x = 10x + -6 Combine like terms: 27x + -2x = 25x 18 + 25x = 10x + -6 Reorder the terms: 18 + 25x = -6 + 10x Solving 18 + 25x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 25x + -10x = -6 + 10x + -10x Combine like terms: 25x + -10x = 15x 18 + 15x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 15x = -6 + 0 18 + 15x = -6 Add '-18' to each side of the equation. 18 + -18 + 15x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 15x = -6 + -18 15x = -6 + -18 Combine like terms: -6 + -18 = -24 15x = -24 Divide each side by '15'. x = -1.6 Simplifying x = -1.6
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