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Simplifying 65 = 5(6x + -17) Reorder the terms: 65 = 5(-17 + 6x) 65 = (-17 * 5 + 6x * 5) 65 = (-85 + 30x) Solving 65 = -85 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 65 + -30x = -85 + 30x + -30x Combine like terms: 30x + -30x = 0 65 + -30x = -85 + 0 65 + -30x = -85 Add '-65' to each side of the equation. 65 + -65 + -30x = -85 + -65 Combine like terms: 65 + -65 = 0 0 + -30x = -85 + -65 -30x = -85 + -65 Combine like terms: -85 + -65 = -150 -30x = -150 Divide each side by '-30'. x = 5 Simplifying x = 5
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