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Simplifying 10x + -24 = 17x + 46 Reorder the terms: -24 + 10x = 17x + 46 Reorder the terms: -24 + 10x = 46 + 17x Solving -24 + 10x = 46 + 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 + 10x + -17x = 46 + 17x + -17x Combine like terms: 10x + -17x = -7x -24 + -7x = 46 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + -7x = 46 + 0 -24 + -7x = 46 Add '24' to each side of the equation. -24 + 24 + -7x = 46 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 46 + 24 -7x = 46 + 24 Combine like terms: 46 + 24 = 70 -7x = 70 Divide each side by '-7'. x = -10 Simplifying x = -10
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