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Simplifying 3x + 65 = 7x + 13 Reorder the terms: 65 + 3x = 7x + 13 Reorder the terms: 65 + 3x = 13 + 7x Solving 65 + 3x = 13 + 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 + 3x + -7x = 13 + 7x + -7x Combine like terms: 3x + -7x = -4x 65 + -4x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 65 + -4x = 13 + 0 65 + -4x = 13 Add '-65' to each side of the equation. 65 + -65 + -4x = 13 + -65 Combine like terms: 65 + -65 = 0 0 + -4x = 13 + -65 -4x = 13 + -65 Combine like terms: 13 + -65 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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