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Simplifying 5 + 3x = 30 + -2x Solving 5 + 3x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 3x + 2x = 30 + -2x + 2x Combine like terms: 3x + 2x = 5x 5 + 5x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 5x = 30 + 0 5 + 5x = 30 Add '-5' to each side of the equation. 5 + -5 + 5x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 30 + -5 5x = 30 + -5 Combine like terms: 30 + -5 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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