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Simplifying x + -8 = 9 + -7(x + 7) Reorder the terms: -8 + x = 9 + -7(x + 7) Reorder the terms: -8 + x = 9 + -7(7 + x) -8 + x = 9 + (7 * -7 + x * -7) -8 + x = 9 + (-49 + -7x) Combine like terms: 9 + -49 = -40 -8 + x = -40 + -7x Solving -8 + x = -40 + -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. -8 + x + 7x = -40 + -7x + 7x Combine like terms: x + 7x = 8x -8 + 8x = -40 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 8x = -40 + 0 -8 + 8x = -40 Add '8' to each side of the equation. -8 + 8 + 8x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -40 + 8 8x = -40 + 8 Combine like terms: -40 + 8 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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