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Simplifying 9x + -20 + -61 + 13x = 17x + 57 + -14x + 71 Reorder the terms: -20 + -61 + 9x + 13x = 17x + 57 + -14x + 71 Combine like terms: -20 + -61 = -81 -81 + 9x + 13x = 17x + 57 + -14x + 71 Combine like terms: 9x + 13x = 22x -81 + 22x = 17x + 57 + -14x + 71 Reorder the terms: -81 + 22x = 57 + 71 + 17x + -14x Combine like terms: 57 + 71 = 128 -81 + 22x = 128 + 17x + -14x Combine like terms: 17x + -14x = 3x -81 + 22x = 128 + 3x Solving -81 + 22x = 128 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -81 + 22x + -3x = 128 + 3x + -3x Combine like terms: 22x + -3x = 19x -81 + 19x = 128 + 3x + -3x Combine like terms: 3x + -3x = 0 -81 + 19x = 128 + 0 -81 + 19x = 128 Add '81' to each side of the equation. -81 + 81 + 19x = 128 + 81 Combine like terms: -81 + 81 = 0 0 + 19x = 128 + 81 19x = 128 + 81 Combine like terms: 128 + 81 = 209 19x = 209 Divide each side by '19'. x = 11 Simplifying x = 11
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