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Simplifying 14x + 11 + -3x + 10 = 9x + 89 + -5x + -103 Reorder the terms: 11 + 10 + 14x + -3x = 9x + 89 + -5x + -103 Combine like terms: 11 + 10 = 21 21 + 14x + -3x = 9x + 89 + -5x + -103 Combine like terms: 14x + -3x = 11x 21 + 11x = 9x + 89 + -5x + -103 Reorder the terms: 21 + 11x = 89 + -103 + 9x + -5x Combine like terms: 89 + -103 = -14 21 + 11x = -14 + 9x + -5x Combine like terms: 9x + -5x = 4x 21 + 11x = -14 + 4x Solving 21 + 11x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 11x + -4x = -14 + 4x + -4x Combine like terms: 11x + -4x = 7x 21 + 7x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 7x = -14 + 0 21 + 7x = -14 Add '-21' to each side of the equation. 21 + -21 + 7x = -14 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -14 + -21 7x = -14 + -21 Combine like terms: -14 + -21 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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