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Simplifying 42 + -6(1 + -7x) = 8(x + -4) 42 + (1 * -6 + -7x * -6) = 8(x + -4) 42 + (-6 + 42x) = 8(x + -4) Combine like terms: 42 + -6 = 36 36 + 42x = 8(x + -4) Reorder the terms: 36 + 42x = 8(-4 + x) 36 + 42x = (-4 * 8 + x * 8) 36 + 42x = (-32 + 8x) Solving 36 + 42x = -32 + 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. 36 + 42x + -8x = -32 + 8x + -8x Combine like terms: 42x + -8x = 34x 36 + 34x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 34x = -32 + 0 36 + 34x = -32 Add '-36' to each side of the equation. 36 + -36 + 34x = -32 + -36 Combine like terms: 36 + -36 = 0 0 + 34x = -32 + -36 34x = -32 + -36 Combine like terms: -32 + -36 = -68 34x = -68 Divide each side by '34'. x = -2 Simplifying x = -2
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