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Simplifying 7 + -1(2x + 1) + 9 = x + -1(x + 11) Reorder the terms: 7 + -1(1 + 2x) + 9 = x + -1(x + 11) 7 + (1 * -1 + 2x * -1) + 9 = x + -1(x + 11) 7 + (-1 + -2x) + 9 = x + -1(x + 11) Reorder the terms: 7 + -1 + 9 + -2x = x + -1(x + 11) Combine like terms: 7 + -1 = 6 6 + 9 + -2x = x + -1(x + 11) Combine like terms: 6 + 9 = 15 15 + -2x = x + -1(x + 11) Reorder the terms: 15 + -2x = x + -1(11 + x) 15 + -2x = x + (11 * -1 + x * -1) 15 + -2x = x + (-11 + -1x) Reorder the terms: 15 + -2x = -11 + x + -1x Combine like terms: x + -1x = 0 15 + -2x = -11 + 0 15 + -2x = -11 Solving 15 + -2x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = -11 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -11 + -15 -2x = -11 + -15 Combine like terms: -11 + -15 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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