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Simplifying 2x + -1(11 + x) = 8x + (7 + 2x) 2x + (11 * -1 + x * -1) = 8x + (7 + 2x) 2x + (-11 + -1x) = 8x + (7 + 2x) Reorder the terms: -11 + 2x + -1x = 8x + (7 + 2x) Combine like terms: 2x + -1x = 1x -11 + 1x = 8x + (7 + 2x) Remove parenthesis around (7 + 2x) -11 + 1x = 8x + 7 + 2x Reorder the terms: -11 + 1x = 7 + 8x + 2x Combine like terms: 8x + 2x = 10x -11 + 1x = 7 + 10x Solving -11 + 1x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -11 + 1x + -10x = 7 + 10x + -10x Combine like terms: 1x + -10x = -9x -11 + -9x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + -9x = 7 + 0 -11 + -9x = 7 Add '11' to each side of the equation. -11 + 11 + -9x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = 7 + 11 -9x = 7 + 11 Combine like terms: 7 + 11 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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