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Simplifying 5(x + -4) + -1(x + -1) = -27 Reorder the terms: 5(-4 + x) + -1(x + -1) = -27 (-4 * 5 + x * 5) + -1(x + -1) = -27 (-20 + 5x) + -1(x + -1) = -27 Reorder the terms: -20 + 5x + -1(-1 + x) = -27 -20 + 5x + (-1 * -1 + x * -1) = -27 -20 + 5x + (1 + -1x) = -27 Reorder the terms: -20 + 1 + 5x + -1x = -27 Combine like terms: -20 + 1 = -19 -19 + 5x + -1x = -27 Combine like terms: 5x + -1x = 4x -19 + 4x = -27 Solving -19 + 4x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 4x = -27 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = -27 + 19 4x = -27 + 19 Combine like terms: -27 + 19 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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