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Simplifying 7x + -20 + 14x + 45 = -30x + 25x + -43 Reorder the terms: -20 + 45 + 7x + 14x = -30x + 25x + -43 Combine like terms: -20 + 45 = 25 25 + 7x + 14x = -30x + 25x + -43 Combine like terms: 7x + 14x = 21x 25 + 21x = -30x + 25x + -43 Reorder the terms: 25 + 21x = -43 + -30x + 25x Combine like terms: -30x + 25x = -5x 25 + 21x = -43 + -5x Solving 25 + 21x = -43 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 25 + 21x + 5x = -43 + -5x + 5x Combine like terms: 21x + 5x = 26x 25 + 26x = -43 + -5x + 5x Combine like terms: -5x + 5x = 0 25 + 26x = -43 + 0 25 + 26x = -43 Add '-25' to each side of the equation. 25 + -25 + 26x = -43 + -25 Combine like terms: 25 + -25 = 0 0 + 26x = -43 + -25 26x = -43 + -25 Combine like terms: -43 + -25 = -68 26x = -68 Divide each side by '26'. x = -2.615384615 Simplifying x = -2.615384615
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