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Simplifying 36 + -2(2x + 1) = 13x + -2(13 + x) Reorder the terms: 36 + -2(1 + 2x) = 13x + -2(13 + x) 36 + (1 * -2 + 2x * -2) = 13x + -2(13 + x) 36 + (-2 + -4x) = 13x + -2(13 + x) Combine like terms: 36 + -2 = 34 34 + -4x = 13x + -2(13 + x) 34 + -4x = 13x + (13 * -2 + x * -2) 34 + -4x = 13x + (-26 + -2x) Reorder the terms: 34 + -4x = -26 + 13x + -2x Combine like terms: 13x + -2x = 11x 34 + -4x = -26 + 11x Solving 34 + -4x = -26 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 34 + -4x + -11x = -26 + 11x + -11x Combine like terms: -4x + -11x = -15x 34 + -15x = -26 + 11x + -11x Combine like terms: 11x + -11x = 0 34 + -15x = -26 + 0 34 + -15x = -26 Add '-34' to each side of the equation. 34 + -34 + -15x = -26 + -34 Combine like terms: 34 + -34 = 0 0 + -15x = -26 + -34 -15x = -26 + -34 Combine like terms: -26 + -34 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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