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Simplifying -3x + 27 = -6(x + -4) Reorder the terms: 27 + -3x = -6(x + -4) Reorder the terms: 27 + -3x = -6(-4 + x) 27 + -3x = (-4 * -6 + x * -6) 27 + -3x = (24 + -6x) Solving 27 + -3x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 27 + -3x + 6x = 24 + -6x + 6x Combine like terms: -3x + 6x = 3x 27 + 3x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 3x = 24 + 0 27 + 3x = 24 Add '-27' to each side of the equation. 27 + -27 + 3x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 24 + -27 3x = 24 + -27 Combine like terms: 24 + -27 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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