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Simplifying 14x + -24 = 10x + 6 + 7x Reorder the terms: -24 + 14x = 10x + 6 + 7x Reorder the terms: -24 + 14x = 6 + 10x + 7x Combine like terms: 10x + 7x = 17x -24 + 14x = 6 + 17x Solving -24 + 14x = 6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -24 + 14x + -17x = 6 + 17x + -17x Combine like terms: 14x + -17x = -3x -24 + -3x = 6 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + -3x = 6 + 0 -24 + -3x = 6 Add '24' to each side of the equation. -24 + 24 + -3x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 6 + 24 -3x = 6 + 24 Combine like terms: 6 + 24 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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