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Simplifying 10x + 24 = 7x + -32 Reorder the terms: 24 + 10x = 7x + -32 Reorder the terms: 24 + 10x = -32 + 7x Solving 24 + 10x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 10x + -7x = -32 + 7x + -7x Combine like terms: 10x + -7x = 3x 24 + 3x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 3x = -32 + 0 24 + 3x = -32 Add '-24' to each side of the equation. 24 + -24 + 3x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -32 + -24 3x = -32 + -24 Combine like terms: -32 + -24 = -56 3x = -56 Divide each side by '3'. x = -18.66666667 Simplifying x = -18.66666667
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