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Simplifying 13x + 32 = 17x + 12 Reorder the terms: 32 + 13x = 17x + 12 Reorder the terms: 32 + 13x = 12 + 17x Solving 32 + 13x = 12 + 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. 32 + 13x + -17x = 12 + 17x + -17x Combine like terms: 13x + -17x = -4x 32 + -4x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 32 + -4x = 12 + 0 32 + -4x = 12 Add '-32' to each side of the equation. 32 + -32 + -4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 12 + -32 -4x = 12 + -32 Combine like terms: 12 + -32 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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