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Simplifying -4(x + 2) + 3(x + -6) = -27 Reorder the terms: -4(2 + x) + 3(x + -6) = -27 (2 * -4 + x * -4) + 3(x + -6) = -27 (-8 + -4x) + 3(x + -6) = -27 Reorder the terms: -8 + -4x + 3(-6 + x) = -27 -8 + -4x + (-6 * 3 + x * 3) = -27 -8 + -4x + (-18 + 3x) = -27 Reorder the terms: -8 + -18 + -4x + 3x = -27 Combine like terms: -8 + -18 = -26 -26 + -4x + 3x = -27 Combine like terms: -4x + 3x = -1x -26 + -1x = -27 Solving -26 + -1x = -27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1x = -27 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = -27 + 26 -1x = -27 + 26 Combine like terms: -27 + 26 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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