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Simplifying x + -7 = 8 + -1(9 + x) Reorder the terms: -7 + x = 8 + -1(9 + x) -7 + x = 8 + (9 * -1 + x * -1) -7 + x = 8 + (-9 + -1x) Combine like terms: 8 + -9 = -1 -7 + x = -1 + -1x Solving -7 + x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + x + x = -1 + -1x + x Combine like terms: x + x = 2x -7 + 2x = -1 + -1x + x Combine like terms: -1x + x = 0 -7 + 2x = -1 + 0 -7 + 2x = -1 Add '7' to each side of the equation. -7 + 7 + 2x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -1 + 7 2x = -1 + 7 Combine like terms: -1 + 7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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