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Simplifying 3(5x + 8) = 3x + -2 Reorder the terms: 3(8 + 5x) = 3x + -2 (8 * 3 + 5x * 3) = 3x + -2 (24 + 15x) = 3x + -2 Reorder the terms: 24 + 15x = -2 + 3x Solving 24 + 15x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 15x + -3x = -2 + 3x + -3x Combine like terms: 15x + -3x = 12x 24 + 12x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 12x = -2 + 0 24 + 12x = -2 Add '-24' to each side of the equation. 24 + -24 + 12x = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = -2 + -24 12x = -2 + -24 Combine like terms: -2 + -24 = -26 12x = -26 Divide each side by '12'. x = -2.166666667 Simplifying x = -2.166666667
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