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Simplifying 30 = 2(x) + 3(x) Combine like terms: 2x + 3x = 5x 30 = 5x Solving 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. 30 + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 30 + -5x = 0 Add '-30' to each side of the equation. 30 + -30 + -5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 0 + -30 -5x = 0 + -30 Combine like terms: 0 + -30 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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