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Simplifying -7(6x + -1) = -27 + -8x Reorder the terms: -7(-1 + 6x) = -27 + -8x (-1 * -7 + 6x * -7) = -27 + -8x (7 + -42x) = -27 + -8x Solving 7 + -42x = -27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + -42x + 8x = -27 + -8x + 8x Combine like terms: -42x + 8x = -34x 7 + -34x = -27 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + -34x = -27 + 0 7 + -34x = -27 Add '-7' to each side of the equation. 7 + -7 + -34x = -27 + -7 Combine like terms: 7 + -7 = 0 0 + -34x = -27 + -7 -34x = -27 + -7 Combine like terms: -27 + -7 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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