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Simplifying 5(3x + 7) + -12x + 2 = -2 Reorder the terms: 5(7 + 3x) + -12x + 2 = -2 (7 * 5 + 3x * 5) + -12x + 2 = -2 (35 + 15x) + -12x + 2 = -2 Reorder the terms: 35 + 2 + 15x + -12x = -2 Combine like terms: 35 + 2 = 37 37 + 15x + -12x = -2 Combine like terms: 15x + -12x = 3x 37 + 3x = -2 Solving 37 + 3x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 3x = -2 + -37 Combine like terms: 37 + -37 = 0 0 + 3x = -2 + -37 3x = -2 + -37 Combine like terms: -2 + -37 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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