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Simplifying 3x + -5x + 65 = 5x + 30 Reorder the terms: 65 + 3x + -5x = 5x + 30 Combine like terms: 3x + -5x = -2x 65 + -2x = 5x + 30 Reorder the terms: 65 + -2x = 30 + 5x Solving 65 + -2x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 65 + -2x + -5x = 30 + 5x + -5x Combine like terms: -2x + -5x = -7x 65 + -7x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 65 + -7x = 30 + 0 65 + -7x = 30 Add '-65' to each side of the equation. 65 + -65 + -7x = 30 + -65 Combine like terms: 65 + -65 = 0 0 + -7x = 30 + -65 -7x = 30 + -65 Combine like terms: 30 + -65 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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