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Simplifying 5x + -1(3x + 4) = 5 + -43 Reorder the terms: 5x + -1(4 + 3x) = 5 + -43 5x + (4 * -1 + 3x * -1) = 5 + -43 5x + (-4 + -3x) = 5 + -43 Reorder the terms: -4 + 5x + -3x = 5 + -43 Combine like terms: 5x + -3x = 2x -4 + 2x = 5 + -43 Combine like terms: 5 + -43 = -38 -4 + 2x = -38 Solving -4 + 2x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = -38 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -38 + 4 2x = -38 + 4 Combine like terms: -38 + 4 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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