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Simplifying 9x + 2 = -2(x + 13) Reorder the terms: 2 + 9x = -2(x + 13) Reorder the terms: 2 + 9x = -2(13 + x) 2 + 9x = (13 * -2 + x * -2) 2 + 9x = (-26 + -2x) Solving 2 + 9x = -26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 9x + 2x = -26 + -2x + 2x Combine like terms: 9x + 2x = 11x 2 + 11x = -26 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 11x = -26 + 0 2 + 11x = -26 Add '-2' to each side of the equation. 2 + -2 + 11x = -26 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = -26 + -2 11x = -26 + -2 Combine like terms: -26 + -2 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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