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Simplifying 30 + 6x = 5(10 + x) 30 + 6x = (10 * 5 + x * 5) 30 + 6x = (50 + 5x) Solving 30 + 6x = 50 + 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 + 6x + -5x = 50 + 5x + -5x Combine like terms: 6x + -5x = 1x 30 + 1x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 1x = 50 + 0 30 + 1x = 50 Add '-30' to each side of the equation. 30 + -30 + 1x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 50 + -30 1x = 50 + -30 Combine like terms: 50 + -30 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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