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Simplifying -3x + -27 = 8(5 + 8x) Reorder the terms: -27 + -3x = 8(5 + 8x) -27 + -3x = (5 * 8 + 8x * 8) -27 + -3x = (40 + 64x) Solving -27 + -3x = 40 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -27 + -3x + -64x = 40 + 64x + -64x Combine like terms: -3x + -64x = -67x -27 + -67x = 40 + 64x + -64x Combine like terms: 64x + -64x = 0 -27 + -67x = 40 + 0 -27 + -67x = 40 Add '27' to each side of the equation. -27 + 27 + -67x = 40 + 27 Combine like terms: -27 + 27 = 0 0 + -67x = 40 + 27 -67x = 40 + 27 Combine like terms: 40 + 27 = 67 -67x = 67 Divide each side by '-67'. x = -1 Simplifying x = -1
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