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Simplifying 5(3x + 1) + -12x = -2 Reorder the terms: 5(1 + 3x) + -12x = -2 (1 * 5 + 3x * 5) + -12x = -2 (5 + 15x) + -12x = -2 Combine like terms: 15x + -12x = 3x 5 + 3x = -2 Solving 5 + 3x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -2 + -5 3x = -2 + -5 Combine like terms: -2 + -5 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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