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Simplifying 12(3x + 5) + -7(2x + -3) = 2x + -19 Reorder the terms: 12(5 + 3x) + -7(2x + -3) = 2x + -19 (5 * 12 + 3x * 12) + -7(2x + -3) = 2x + -19 (60 + 36x) + -7(2x + -3) = 2x + -19 Reorder the terms: 60 + 36x + -7(-3 + 2x) = 2x + -19 60 + 36x + (-3 * -7 + 2x * -7) = 2x + -19 60 + 36x + (21 + -14x) = 2x + -19 Reorder the terms: 60 + 21 + 36x + -14x = 2x + -19 Combine like terms: 60 + 21 = 81 81 + 36x + -14x = 2x + -19 Combine like terms: 36x + -14x = 22x 81 + 22x = 2x + -19 Reorder the terms: 81 + 22x = -19 + 2x Solving 81 + 22x = -19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 81 + 22x + -2x = -19 + 2x + -2x Combine like terms: 22x + -2x = 20x 81 + 20x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 81 + 20x = -19 + 0 81 + 20x = -19 Add '-81' to each side of the equation. 81 + -81 + 20x = -19 + -81 Combine like terms: 81 + -81 = 0 0 + 20x = -19 + -81 20x = -19 + -81 Combine like terms: -19 + -81 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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