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Simplifying -1(1 + -7x) = 4x + -8(x + -4) (1 * -1 + -7x * -1) = 4x + -8(x + -4) (-1 + 7x) = 4x + -8(x + -4) Reorder the terms: -1 + 7x = 4x + -8(-4 + x) -1 + 7x = 4x + (-4 * -8 + x * -8) -1 + 7x = 4x + (32 + -8x) Reorder the terms: -1 + 7x = 32 + 4x + -8x Combine like terms: 4x + -8x = -4x -1 + 7x = 32 + -4x Solving -1 + 7x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 7x + 4x = 32 + -4x + 4x Combine like terms: 7x + 4x = 11x -1 + 11x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 11x = 32 + 0 -1 + 11x = 32 Add '1' to each side of the equation. -1 + 1 + 11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 32 + 1 11x = 32 + 1 Combine like terms: 32 + 1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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