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Simplifying 3x + 32 = 5x + 52 Reorder the terms: 32 + 3x = 5x + 52 Reorder the terms: 32 + 3x = 52 + 5x Solving 32 + 3x = 52 + 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. 32 + 3x + -5x = 52 + 5x + -5x Combine like terms: 3x + -5x = -2x 32 + -2x = 52 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -2x = 52 + 0 32 + -2x = 52 Add '-32' to each side of the equation. 32 + -32 + -2x = 52 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 52 + -32 -2x = 52 + -32 Combine like terms: 52 + -32 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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