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Simplifying 13 + -6(x + 2) = 3x + -1(11x + 5) Reorder the terms: 13 + -6(2 + x) = 3x + -1(11x + 5) 13 + (2 * -6 + x * -6) = 3x + -1(11x + 5) 13 + (-12 + -6x) = 3x + -1(11x + 5) Combine like terms: 13 + -12 = 1 1 + -6x = 3x + -1(11x + 5) Reorder the terms: 1 + -6x = 3x + -1(5 + 11x) 1 + -6x = 3x + (5 * -1 + 11x * -1) 1 + -6x = 3x + (-5 + -11x) Reorder the terms: 1 + -6x = -5 + 3x + -11x Combine like terms: 3x + -11x = -8x 1 + -6x = -5 + -8x Solving 1 + -6x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1 + -6x + 8x = -5 + -8x + 8x Combine like terms: -6x + 8x = 2x 1 + 2x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 2x = -5 + 0 1 + 2x = -5 Add '-1' to each side of the equation. 1 + -1 + 2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -5 + -1 2x = -5 + -1 Combine like terms: -5 + -1 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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