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Simplifying 11 + -1(x + 9) = 7x + -6 Reorder the terms: 11 + -1(9 + x) = 7x + -6 11 + (9 * -1 + x * -1) = 7x + -6 11 + (-9 + -1x) = 7x + -6 Combine like terms: 11 + -9 = 2 2 + -1x = 7x + -6 Reorder the terms: 2 + -1x = -6 + 7x Solving 2 + -1x = -6 + 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. 2 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x 2 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -8x = -6 + 0 2 + -8x = -6 Add '-2' to each side of the equation. 2 + -2 + -8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -6 + -2 -8x = -6 + -2 Combine like terms: -6 + -2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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