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Simplifying 13x + 65 = 7x + 32 Reorder the terms: 65 + 13x = 7x + 32 Reorder the terms: 65 + 13x = 32 + 7x Solving 65 + 13x = 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. 65 + 13x + -7x = 32 + 7x + -7x Combine like terms: 13x + -7x = 6x 65 + 6x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 65 + 6x = 32 + 0 65 + 6x = 32 Add '-65' to each side of the equation. 65 + -65 + 6x = 32 + -65 Combine like terms: 65 + -65 = 0 0 + 6x = 32 + -65 6x = 32 + -65 Combine like terms: 32 + -65 = -33 6x = -33 Divide each side by '6'. x = -5.5 Simplifying x = -5.5
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