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Simplifying -67 = 2x + 3(5x + 6) Reorder the terms: -67 = 2x + 3(6 + 5x) -67 = 2x + (6 * 3 + 5x * 3) -67 = 2x + (18 + 15x) Reorder the terms: -67 = 18 + 2x + 15x Combine like terms: 2x + 15x = 17x -67 = 18 + 17x Solving -67 = 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. -67 + -17x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 -67 + -17x = 18 + 0 -67 + -17x = 18 Add '67' to each side of the equation. -67 + 67 + -17x = 18 + 67 Combine like terms: -67 + 67 = 0 0 + -17x = 18 + 67 -17x = 18 + 67 Combine like terms: 18 + 67 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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