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Simplifying -6x + -27 = 7 + -5(x + 6) Reorder the terms: -27 + -6x = 7 + -5(x + 6) Reorder the terms: -27 + -6x = 7 + -5(6 + x) -27 + -6x = 7 + (6 * -5 + x * -5) -27 + -6x = 7 + (-30 + -5x) Combine like terms: 7 + -30 = -23 -27 + -6x = -23 + -5x Solving -27 + -6x = -23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + -6x + 5x = -23 + -5x + 5x Combine like terms: -6x + 5x = -1x -27 + -1x = -23 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + -1x = -23 + 0 -27 + -1x = -23 Add '27' to each side of the equation. -27 + 27 + -1x = -23 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -23 + 27 -1x = -23 + 27 Combine like terms: -23 + 27 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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