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Simplifying 7x + -1 = 4x + -8(7 + x) Reorder the terms: -1 + 7x = 4x + -8(7 + x) -1 + 7x = 4x + (7 * -8 + x * -8) -1 + 7x = 4x + (-56 + -8x) Reorder the terms: -1 + 7x = -56 + 4x + -8x Combine like terms: 4x + -8x = -4x -1 + 7x = -56 + -4x Solving -1 + 7x = -56 + -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 = -56 + -4x + 4x Combine like terms: 7x + 4x = 11x -1 + 11x = -56 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 11x = -56 + 0 -1 + 11x = -56 Add '1' to each side of the equation. -1 + 1 + 11x = -56 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = -56 + 1 11x = -56 + 1 Combine like terms: -56 + 1 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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