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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 = 22 -7x = 22 Divide each side by '-7'. x = -3.142857143 Simplifying x = -3.142857143
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