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Simplifying 11 + -13(x + -2) = 15x + -2(x + 4) Reorder the terms: 11 + -13(-2 + x) = 15x + -2(x + 4) 11 + (-2 * -13 + x * -13) = 15x + -2(x + 4) 11 + (26 + -13x) = 15x + -2(x + 4) Combine like terms: 11 + 26 = 37 37 + -13x = 15x + -2(x + 4) Reorder the terms: 37 + -13x = 15x + -2(4 + x) 37 + -13x = 15x + (4 * -2 + x * -2) 37 + -13x = 15x + (-8 + -2x) Reorder the terms: 37 + -13x = -8 + 15x + -2x Combine like terms: 15x + -2x = 13x 37 + -13x = -8 + 13x Solving 37 + -13x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 37 + -13x + -13x = -8 + 13x + -13x Combine like terms: -13x + -13x = -26x 37 + -26x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 37 + -26x = -8 + 0 37 + -26x = -8 Add '-37' to each side of the equation. 37 + -37 + -26x = -8 + -37 Combine like terms: 37 + -37 = 0 0 + -26x = -8 + -37 -26x = -8 + -37 Combine like terms: -8 + -37 = -45 -26x = -45 Divide each side by '-26'. x = 1.730769231 Simplifying x = 1.730769231
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