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Simplifying 8x + -1(7 + x) = -1(4x + 7) 8x + (7 * -1 + x * -1) = -1(4x + 7) 8x + (-7 + -1x) = -1(4x + 7) Reorder the terms: -7 + 8x + -1x = -1(4x + 7) Combine like terms: 8x + -1x = 7x -7 + 7x = -1(4x + 7) Reorder the terms: -7 + 7x = -1(7 + 4x) -7 + 7x = (7 * -1 + 4x * -1) -7 + 7x = (-7 + -4x) Add '7' to each side of the equation. -7 + 7 + 7x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 0 + 7x = -7 + 7 + -4x 7x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 7x = 0 + -4x 7x = -4x Solving 7x = -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. 7x + 4x = -4x + 4x Combine like terms: 7x + 4x = 11x 11x = -4x + 4x Combine like terms: -4x + 4x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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