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Simplifying 4(x + -2) + -5(x + 4) = -27 Reorder the terms: 4(-2 + x) + -5(x + 4) = -27 (-2 * 4 + x * 4) + -5(x + 4) = -27 (-8 + 4x) + -5(x + 4) = -27 Reorder the terms: -8 + 4x + -5(4 + x) = -27 -8 + 4x + (4 * -5 + x * -5) = -27 -8 + 4x + (-20 + -5x) = -27 Reorder the terms: -8 + -20 + 4x + -5x = -27 Combine like terms: -8 + -20 = -28 -28 + 4x + -5x = -27 Combine like terms: 4x + -5x = -1x -28 + -1x = -27 Solving -28 + -1x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1x = -27 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -27 + 28 -1x = -27 + 28 Combine like terms: -27 + 28 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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