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Simplifying 4x + -5(-1x + 4) = -83 Reorder the terms: 4x + -5(4 + -1x) = -83 4x + (4 * -5 + -1x * -5) = -83 4x + (-20 + 5x) = -83 Reorder the terms: -20 + 4x + 5x = -83 Combine like terms: 4x + 5x = 9x -20 + 9x = -83 Solving -20 + 9x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 9x = -83 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = -83 + 20 9x = -83 + 20 Combine like terms: -83 + 20 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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