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Simplifying -43x + -81 + 3x = 15x + -1(5x + -19) Reorder the terms: -81 + -43x + 3x = 15x + -1(5x + -19) Combine like terms: -43x + 3x = -40x -81 + -40x = 15x + -1(5x + -19) Reorder the terms: -81 + -40x = 15x + -1(-19 + 5x) -81 + -40x = 15x + (-19 * -1 + 5x * -1) -81 + -40x = 15x + (19 + -5x) Reorder the terms: -81 + -40x = 19 + 15x + -5x Combine like terms: 15x + -5x = 10x -81 + -40x = 19 + 10x Solving -81 + -40x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -81 + -40x + -10x = 19 + 10x + -10x Combine like terms: -40x + -10x = -50x -81 + -50x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -81 + -50x = 19 + 0 -81 + -50x = 19 Add '81' to each side of the equation. -81 + 81 + -50x = 19 + 81 Combine like terms: -81 + 81 = 0 0 + -50x = 19 + 81 -50x = 19 + 81 Combine like terms: 19 + 81 = 100 -50x = 100 Divide each side by '-50'. x = -2 Simplifying x = -2
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