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Simplifying -27 = -3(x + -1) + 7(x + -6) Reorder the terms: -27 = -3(-1 + x) + 7(x + -6) -27 = (-1 * -3 + x * -3) + 7(x + -6) -27 = (3 + -3x) + 7(x + -6) Reorder the terms: -27 = 3 + -3x + 7(-6 + x) -27 = 3 + -3x + (-6 * 7 + x * 7) -27 = 3 + -3x + (-42 + 7x) Reorder the terms: -27 = 3 + -42 + -3x + 7x Combine like terms: 3 + -42 = -39 -27 = -39 + -3x + 7x Combine like terms: -3x + 7x = 4x -27 = -39 + 4x Solving -27 = -39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + -4x = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + -4x = -39 + 0 -27 + -4x = -39 Add '27' to each side of the equation. -27 + 27 + -4x = -39 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = -39 + 27 -4x = -39 + 27 Combine like terms: -39 + 27 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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