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Simplifying (12x + 3) + -1(5x + -2) = 19 Reorder the terms: (3 + 12x) + -1(5x + -2) = 19 Remove parenthesis around (3 + 12x) 3 + 12x + -1(5x + -2) = 19 Reorder the terms: 3 + 12x + -1(-2 + 5x) = 19 3 + 12x + (-2 * -1 + 5x * -1) = 19 3 + 12x + (2 + -5x) = 19 Reorder the terms: 3 + 2 + 12x + -5x = 19 Combine like terms: 3 + 2 = 5 5 + 12x + -5x = 19 Combine like terms: 12x + -5x = 7x 5 + 7x = 19 Solving 5 + 7x = 19 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 + 7x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 19 + -5 7x = 19 + -5 Combine like terms: 19 + -5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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