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Simplifying (3x + 2) + -1(2x + -3) = -19 Reorder the terms: (2 + 3x) + -1(2x + -3) = -19 Remove parenthesis around (2 + 3x) 2 + 3x + -1(2x + -3) = -19 Reorder the terms: 2 + 3x + -1(-3 + 2x) = -19 2 + 3x + (-3 * -1 + 2x * -1) = -19 2 + 3x + (3 + -2x) = -19 Reorder the terms: 2 + 3 + 3x + -2x = -19 Combine like terms: 2 + 3 = 5 5 + 3x + -2x = -19 Combine like terms: 3x + -2x = 1x 5 + 1x = -19 Solving 5 + 1x = -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 + 1x = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -19 + -5 1x = -19 + -5 Combine like terms: -19 + -5 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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