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Simplifying 7(x + -2) + -11(2 + -1x) = 9x + 1 Reorder the terms: 7(-2 + x) + -11(2 + -1x) = 9x + 1 (-2 * 7 + x * 7) + -11(2 + -1x) = 9x + 1 (-14 + 7x) + -11(2 + -1x) = 9x + 1 -14 + 7x + (2 * -11 + -1x * -11) = 9x + 1 -14 + 7x + (-22 + 11x) = 9x + 1 Reorder the terms: -14 + -22 + 7x + 11x = 9x + 1 Combine like terms: -14 + -22 = -36 -36 + 7x + 11x = 9x + 1 Combine like terms: 7x + 11x = 18x -36 + 18x = 9x + 1 Reorder the terms: -36 + 18x = 1 + 9x Solving -36 + 18x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -36 + 18x + -9x = 1 + 9x + -9x Combine like terms: 18x + -9x = 9x -36 + 9x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + 9x = 1 + 0 -36 + 9x = 1 Add '36' to each side of the equation. -36 + 36 + 9x = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 1 + 36 9x = 1 + 36 Combine like terms: 1 + 36 = 37 9x = 37 Divide each side by '9'. x = 4.111111111 Simplifying x = 4.111111111
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