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Simplifying -154 = 6x + 2(3x + -17) Reorder the terms: -154 = 6x + 2(-17 + 3x) -154 = 6x + (-17 * 2 + 3x * 2) -154 = 6x + (-34 + 6x) Reorder the terms: -154 = -34 + 6x + 6x Combine like terms: 6x + 6x = 12x -154 = -34 + 12x Solving -154 = -34 + 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. -154 + -12x = -34 + 12x + -12x Combine like terms: 12x + -12x = 0 -154 + -12x = -34 + 0 -154 + -12x = -34 Add '154' to each side of the equation. -154 + 154 + -12x = -34 + 154 Combine like terms: -154 + 154 = 0 0 + -12x = -34 + 154 -12x = -34 + 154 Combine like terms: -34 + 154 = 120 -12x = 120 Divide each side by '-12'. x = -10 Simplifying x = -10
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