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Simplifying 3x + -7(2x + -13) = (-2x + 9) Reorder the terms: 3x + -7(-13 + 2x) = (-2x + 9) 3x + (-13 * -7 + 2x * -7) = (-2x + 9) 3x + (91 + -14x) = (-2x + 9) Reorder the terms: 91 + 3x + -14x = (-2x + 9) Combine like terms: 3x + -14x = -11x 91 + -11x = (-2x + 9) Reorder the terms: 91 + -11x = (9 + -2x) Remove parenthesis around (9 + -2x) 91 + -11x = 9 + -2x Solving 91 + -11x = 9 + -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. 91 + -11x + 2x = 9 + -2x + 2x Combine like terms: -11x + 2x = -9x 91 + -9x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 91 + -9x = 9 + 0 91 + -9x = 9 Add '-91' to each side of the equation. 91 + -91 + -9x = 9 + -91 Combine like terms: 91 + -91 = 0 0 + -9x = 9 + -91 -9x = 9 + -91 Combine like terms: 9 + -91 = -82 -9x = -82 Divide each side by '-9'. x = 9.111111111 Simplifying x = 9.111111111
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