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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 = 1 1 + 3x + -2x = -19 Combine like terms: 3x + -2x = 1x 1 + 1x = -19 Solving 1 + 1x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -19 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -19 + -1 1x = -19 + -1 Combine like terms: -19 + -1 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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