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Simplifying -4(1 + 8x) = 7(x + 5) (1 * -4 + 8x * -4) = 7(x + 5) (-4 + -32x) = 7(x + 5) Reorder the terms: -4 + -32x = 7(5 + x) -4 + -32x = (5 * 7 + x * 7) -4 + -32x = (35 + 7x) Solving -4 + -32x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + -32x + -7x = 35 + 7x + -7x Combine like terms: -32x + -7x = -39x -4 + -39x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -39x = 35 + 0 -4 + -39x = 35 Add '4' to each side of the equation. -4 + 4 + -39x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + -39x = 35 + 4 -39x = 35 + 4 Combine like terms: 35 + 4 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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