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Simplifying 14x + -9 + 3x + -5 = 13x + -2 + 3x Reorder the terms: -9 + -5 + 14x + 3x = 13x + -2 + 3x Combine like terms: -9 + -5 = -14 -14 + 14x + 3x = 13x + -2 + 3x Combine like terms: 14x + 3x = 17x -14 + 17x = 13x + -2 + 3x Reorder the terms: -14 + 17x = -2 + 13x + 3x Combine like terms: 13x + 3x = 16x -14 + 17x = -2 + 16x Solving -14 + 17x = -2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -14 + 17x + -16x = -2 + 16x + -16x Combine like terms: 17x + -16x = 1x -14 + 1x = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 -14 + 1x = -2 + 0 -14 + 1x = -2 Add '14' to each side of the equation. -14 + 14 + 1x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -2 + 14 1x = -2 + 14 Combine like terms: -2 + 14 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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