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Simplifying 7x + 14 = -3x + 24 Reorder the terms: 14 + 7x = -3x + 24 Reorder the terms: 14 + 7x = 24 + -3x Solving 14 + 7x = 24 + -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. 14 + 7x + 3x = 24 + -3x + 3x Combine like terms: 7x + 3x = 10x 14 + 10x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 10x = 24 + 0 14 + 10x = 24 Add '-14' to each side of the equation. 14 + -14 + 10x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 24 + -14 10x = 24 + -14 Combine like terms: 24 + -14 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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