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Simplifying -3x + 65 = 3x + 17 Reorder the terms: 65 + -3x = 3x + 17 Reorder the terms: 65 + -3x = 17 + 3x Solving 65 + -3x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 65 + -3x + -3x = 17 + 3x + -3x Combine like terms: -3x + -3x = -6x 65 + -6x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 65 + -6x = 17 + 0 65 + -6x = 17 Add '-65' to each side of the equation. 65 + -65 + -6x = 17 + -65 Combine like terms: 65 + -65 = 0 0 + -6x = 17 + -65 -6x = 17 + -65 Combine like terms: 17 + -65 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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