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Simplifying 65 + -3x = -6x + 83 Reorder the terms: 65 + -3x = 83 + -6x Solving 65 + -3x = 83 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 65 + -3x + 6x = 83 + -6x + 6x Combine like terms: -3x + 6x = 3x 65 + 3x = 83 + -6x + 6x Combine like terms: -6x + 6x = 0 65 + 3x = 83 + 0 65 + 3x = 83 Add '-65' to each side of the equation. 65 + -65 + 3x = 83 + -65 Combine like terms: 65 + -65 = 0 0 + 3x = 83 + -65 3x = 83 + -65 Combine like terms: 83 + -65 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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