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Simplifying 9(3x + 2) + (-10x) = 12x + (-7) Reorder the terms: 9(2 + 3x) + (-10x) = 12x + (-7) (2 * 9 + 3x * 9) + (-10x) = 12x + (-7) (18 + 27x) + (-10x) = 12x + (-7) Combine like terms: 27x + (-10x) = 17x 18 + 17x = 12x + (-7) 18 + 17x = 12x + -7 Reorder the terms: 18 + 17x = -7 + 12x Solving 18 + 17x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 17x + -12x = -7 + 12x + -12x Combine like terms: 17x + -12x = 5x 18 + 5x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + 5x = -7 + 0 18 + 5x = -7 Add '-18' to each side of the equation. 18 + -18 + 5x = -7 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -7 + -18 5x = -7 + -18 Combine like terms: -7 + -18 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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