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Simplifying 5x + 14 + -2x = 9 + -1(3x + -5) Reorder the terms: 14 + 5x + -2x = 9 + -1(3x + -5) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + -1(3x + -5) Reorder the terms: 14 + 3x = 9 + -1(-5 + 3x) 14 + 3x = 9 + (-5 * -1 + 3x * -1) 14 + 3x = 9 + (5 + -3x) Combine like terms: 9 + 5 = 14 14 + 3x = 14 + -3x Add '-14' to each side of the equation. 14 + -14 + 3x = 14 + -14 + -3x Combine like terms: 14 + -14 = 0 0 + 3x = 14 + -14 + -3x 3x = 14 + -14 + -3x Combine like terms: 14 + -14 = 0 3x = 0 + -3x 3x = -3x Solving 3x = -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. 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x 6x = -3x + 3x Combine like terms: -3x + 3x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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