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Simplifying 11 + -1(x + 9) = 8x + -7 Reorder the terms: 11 + -1(9 + x) = 8x + -7 11 + (9 * -1 + x * -1) = 8x + -7 11 + (-9 + -1x) = 8x + -7 Combine like terms: 11 + -9 = 2 2 + -1x = 8x + -7 Reorder the terms: 2 + -1x = -7 + 8x Solving 2 + -1x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -1x + -8x = -7 + 8x + -8x Combine like terms: -1x + -8x = -9x 2 + -9x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -9x = -7 + 0 2 + -9x = -7 Add '-2' to each side of the equation. 2 + -2 + -9x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -7 + -2 -9x = -7 + -2 Combine like terms: -7 + -2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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