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Simplifying 9(3x + 2) + -10 = 12x + -7 Reorder the terms: 9(2 + 3x) + -10 = 12x + -7 (2 * 9 + 3x * 9) + -10 = 12x + -7 (18 + 27x) + -10 = 12x + -7 Reorder the terms: 18 + -10 + 27x = 12x + -7 Combine like terms: 18 + -10 = 8 8 + 27x = 12x + -7 Reorder the terms: 8 + 27x = -7 + 12x Solving 8 + 27x = -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. 8 + 27x + -12x = -7 + 12x + -12x Combine like terms: 27x + -12x = 15x 8 + 15x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 15x = -7 + 0 8 + 15x = -7 Add '-8' to each side of the equation. 8 + -8 + 15x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -7 + -8 15x = -7 + -8 Combine like terms: -7 + -8 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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