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Simplifying 11 + 7(2x + -1) + -9x = 2(x + 11) Reorder the terms: 11 + 7(-1 + 2x) + -9x = 2(x + 11) 11 + (-1 * 7 + 2x * 7) + -9x = 2(x + 11) 11 + (-7 + 14x) + -9x = 2(x + 11) Combine like terms: 11 + -7 = 4 4 + 14x + -9x = 2(x + 11) Combine like terms: 14x + -9x = 5x 4 + 5x = 2(x + 11) Reorder the terms: 4 + 5x = 2(11 + x) 4 + 5x = (11 * 2 + x * 2) 4 + 5x = (22 + 2x) Solving 4 + 5x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 5x + -2x = 22 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 22 + 0 4 + 3x = 22 Add '-4' to each side of the equation. 4 + -4 + 3x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 22 + -4 3x = 22 + -4 Combine like terms: 22 + -4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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