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Simplifying 2(6x + -3) + -1 = 9(3x + 2) + -10x Reorder the terms: 2(-3 + 6x) + -1 = 9(3x + 2) + -10x (-3 * 2 + 6x * 2) + -1 = 9(3x + 2) + -10x (-6 + 12x) + -1 = 9(3x + 2) + -10x Reorder the terms: -6 + -1 + 12x = 9(3x + 2) + -10x Combine like terms: -6 + -1 = -7 -7 + 12x = 9(3x + 2) + -10x Reorder the terms: -7 + 12x = 9(2 + 3x) + -10x -7 + 12x = (2 * 9 + 3x * 9) + -10x -7 + 12x = (18 + 27x) + -10x Combine like terms: 27x + -10x = 17x -7 + 12x = 18 + 17x Solving -7 + 12x = 18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -7 + 12x + -17x = 18 + 17x + -17x Combine like terms: 12x + -17x = -5x -7 + -5x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + -5x = 18 + 0 -7 + -5x = 18 Add '7' to each side of the equation. -7 + 7 + -5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 18 + 7 -5x = 18 + 7 Combine like terms: 18 + 7 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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