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Simplifying 2x + 13 = -13(x + 4) Reorder the terms: 13 + 2x = -13(x + 4) Reorder the terms: 13 + 2x = -13(4 + x) 13 + 2x = (4 * -13 + x * -13) 13 + 2x = (-52 + -13x) Solving 13 + 2x = -52 + -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. 13 + 2x + 13x = -52 + -13x + 13x Combine like terms: 2x + 13x = 15x 13 + 15x = -52 + -13x + 13x Combine like terms: -13x + 13x = 0 13 + 15x = -52 + 0 13 + 15x = -52 Add '-13' to each side of the equation. 13 + -13 + 15x = -52 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = -52 + -13 15x = -52 + -13 Combine like terms: -52 + -13 = -65 15x = -65 Divide each side by '15'. x = -4.333333333 Simplifying x = -4.333333333
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