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Simplifying 2 + -1(x + -11) = 5(x + 7) Reorder the terms: 2 + -1(-11 + x) = 5(x + 7) 2 + (-11 * -1 + x * -1) = 5(x + 7) 2 + (11 + -1x) = 5(x + 7) Combine like terms: 2 + 11 = 13 13 + -1x = 5(x + 7) Reorder the terms: 13 + -1x = 5(7 + x) 13 + -1x = (7 * 5 + x * 5) 13 + -1x = (35 + 5x) Solving 13 + -1x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + -1x + -5x = 35 + 5x + -5x Combine like terms: -1x + -5x = -6x 13 + -6x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -6x = 35 + 0 13 + -6x = 35 Add '-13' to each side of the equation. 13 + -13 + -6x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 35 + -13 -6x = 35 + -13 Combine like terms: 35 + -13 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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