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Simplifying 9x + 2(2x + -4) = 11x + -14 Reorder the terms: 9x + 2(-4 + 2x) = 11x + -14 9x + (-4 * 2 + 2x * 2) = 11x + -14 9x + (-8 + 4x) = 11x + -14 Reorder the terms: -8 + 9x + 4x = 11x + -14 Combine like terms: 9x + 4x = 13x -8 + 13x = 11x + -14 Reorder the terms: -8 + 13x = -14 + 11x Solving -8 + 13x = -14 + 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. -8 + 13x + -11x = -14 + 11x + -11x Combine like terms: 13x + -11x = 2x -8 + 2x = -14 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 2x = -14 + 0 -8 + 2x = -14 Add '8' to each side of the equation. -8 + 8 + 2x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -14 + 8 2x = -14 + 8 Combine like terms: -14 + 8 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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