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Simplifying 2(3x + 7) = -3(2x + 8) Reorder the terms: 2(7 + 3x) = -3(2x + 8) (7 * 2 + 3x * 2) = -3(2x + 8) (14 + 6x) = -3(2x + 8) Reorder the terms: 14 + 6x = -3(8 + 2x) 14 + 6x = (8 * -3 + 2x * -3) 14 + 6x = (-24 + -6x) Solving 14 + 6x = -24 + -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. 14 + 6x + 6x = -24 + -6x + 6x Combine like terms: 6x + 6x = 12x 14 + 12x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 12x = -24 + 0 14 + 12x = -24 Add '-14' to each side of the equation. 14 + -14 + 12x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -24 + -14 12x = -24 + -14 Combine like terms: -24 + -14 = -38 12x = -38 Divide each side by '12'. x = -3.166666667 Simplifying x = -3.166666667
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