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Simplifying 2(3x + 6) + 5 = -3(2x + -1) Reorder the terms: 2(6 + 3x) + 5 = -3(2x + -1) (6 * 2 + 3x * 2) + 5 = -3(2x + -1) (12 + 6x) + 5 = -3(2x + -1) Reorder the terms: 12 + 5 + 6x = -3(2x + -1) Combine like terms: 12 + 5 = 17 17 + 6x = -3(2x + -1) Reorder the terms: 17 + 6x = -3(-1 + 2x) 17 + 6x = (-1 * -3 + 2x * -3) 17 + 6x = (3 + -6x) Solving 17 + 6x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + 6x + 6x = 3 + -6x + 6x Combine like terms: 6x + 6x = 12x 17 + 12x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 12x = 3 + 0 17 + 12x = 3 Add '-17' to each side of the equation. 17 + -17 + 12x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 3 + -17 12x = 3 + -17 Combine like terms: 3 + -17 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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