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Simplifying 2x + 24 = 5x + 32 Reorder the terms: 24 + 2x = 5x + 32 Reorder the terms: 24 + 2x = 32 + 5x Solving 24 + 2x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 2x + -5x = 32 + 5x + -5x Combine like terms: 2x + -5x = -3x 24 + -3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 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 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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